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@article{DBLP:journals/adcm/LangerSY24,
author = {Ulrich Langer and
Olaf Steinbach and
Huidong Yang},
title = {Robust space-time finite element methods for parabolic distributed
optimal control problems with energy regularization},
journal = {Adv. Comput. Math.},
volume = {50},
number = {2},
pages = {24},
year = {2024}
}
@article{DBLP:journals/adcm/YangX24a,
author = {Fanyi Yang and
Xiaoping Xie},
title = {An unfitted finite element method with direct extension stabilization
for time-harmonic Maxwell problems on smooth domains},
journal = {Adv. Comput. Math.},
volume = {50},
number = {3},
pages = {51},
year = {2024}
}
@article{DBLP:journals/amc/Kumar24,
author = {Raman Kumar},
title = {Numerical solutions for Biharmonic interface problems via weak Galerkin
finite element methods},
journal = {Appl. Math. Comput.},
volume = {467},
pages = {128496},
year = {2024}
}
@article{DBLP:journals/amc/SunWX24,
author = {Feng{-}Xin Sun and
Jufeng Wang and
Ying Xu},
title = {An improved stabilized element-free Galerkin method for solving steady
Stokes flow problems},
journal = {Appl. Math. Comput.},
volume = {463},
pages = {128346},
year = {2024}
}
@article{DBLP:journals/appml/LiM24,
author = {Hongliang Li and
Pingbing Ming},
title = {An asymptotic-preserving finite element method for a forth order singular
perturbation problem with boundary layers},
journal = {Appl. Math. Lett.},
volume = {149},
pages = {108923},
year = {2024}
}
@article{DBLP:journals/appml/LiuLMY24,
author = {Shasha Liu and
Xiaowei Liu and
Xiaoqi Ma and
Changliang Yan},
title = {Supercloseness analysis of the linear finite element method for a
singularly perturbed convection-diffusion problem on Vulanovi{\'{c}}-Bakhvalov
mesh},
journal = {Appl. Math. Lett.},
volume = {148},
pages = {108860},
year = {2024}
}
@article{DBLP:journals/cam/PorwalS24,
author = {Kamana Porwal and
Ritesh Singla},
title = {Pointwise adaptive non-conforming finite element method for the obstacle
problem},
journal = {Comput. Appl. Math.},
volume = {43},
number = {3},
pages = {150},
year = {2024}
}
@article{DBLP:journals/cam/TengL24,
author = {Fei Teng and
Zhendong Luo},
title = {A natural boundary element reduced-dimension model for uniform high-voltage
transmission line problem in an unbounded outer domain},
journal = {Comput. Appl. Math.},
volume = {43},
number = {3},
pages = {106},
year = {2024}
}
@article{DBLP:journals/cam/WuS24,
author = {Yanmi Wu and
Dongyang Shi},
title = {Optimal error estimates of an H\({}^{\mbox{1}}\)-Galerkin mixed finite
element method for nonlinear Kirchhoff-type problem},
journal = {Comput. Appl. Math.},
volume = {43},
number = {1},
pages = {55},
year = {2024}
}
@article{DBLP:journals/cma/AkriJR24,
author = {Abdeladim El Akri and
Khalide Jbilou and
Ahmed Ratnani},
title = {Auxiliary splines space preconditioning for B-splines finite elements:
The case of H(curl,{\(\Omega\)}) and H(div,{\(\Omega\)}) elliptic
problems},
journal = {Comput. Math. Appl.},
volume = {159},
pages = {102--121},
year = {2024}
}
@article{DBLP:journals/cma/ArtoniAMPR24,
author = {Alberto Artoni and
Paola F. Antonietti and
Ilario Mazzieri and
Nicola Parolini and
Daniele Rocchi},
title = {A hybrid finite volume - spectral element method for aeroacoustic
problems},
journal = {Comput. Math. Appl.},
volume = {155},
pages = {193--208},
year = {2024}
}
@article{DBLP:journals/cma/DuZ24,
author = {Guangzhi Du and
Liyun Zuo},
title = {Two-grid parallel stabilized finite element method based on overlapping
domain decomposition for the Stokes problem},
journal = {Comput. Math. Appl.},
volume = {155},
pages = {91--96},
year = {2024}
}
@article{DBLP:journals/cma/HeLQ24,
author = {Lu He and
Yanhong Liu and
Guanghui Qing},
title = {Rational generalized mixed finite element method for 2D linear elastic
problems},
journal = {Comput. Math. Appl.},
volume = {163},
pages = {103--116},
year = {2024}
}
@article{DBLP:journals/cma/HuoWWZ24,
author = {Fuchang Huo and
Ruishu Wang and
Yanqiu Wang and
Ran Zhang},
title = {A locking-free weak Galerkin finite element method for linear elasticity
problems},
journal = {Comput. Math. Appl.},
volume = {160},
pages = {181--190},
year = {2024}
}
@article{DBLP:journals/cma/LangerLSY24,
author = {Ulrich Langer and
Richard L{\"{o}}scher and
Olaf Steinbach and
Huidong Yang},
title = {An adaptive finite element method for distributed elliptic optimal
control problems with variable energy regularization},
journal = {Comput. Math. Appl.},
volume = {160},
pages = {1--14},
year = {2024}
}
@article{DBLP:journals/cma/LinssX24,
author = {Torsten Lin{\ss} and
Christos Xenophontos},
title = {Balanced norm estimates for rp-finite element methods applied to singularly
perturbed fourth order boundary value problems},
journal = {Comput. Math. Appl.},
volume = {164},
pages = {95--103},
year = {2024}
}
@article{DBLP:journals/cma/MaCD24,
author = {Huanhuan Ma and
Jingrun Chen and
Jiansong Deng},
title = {Error analysis of the element-free Galerkin method for a nonlinear
plate problem},
journal = {Comput. Math. Appl.},
volume = {163},
pages = {56--65},
year = {2024}
}
@article{DBLP:journals/cma/Manohar24,
author = {Ram Manohar},
title = {Error analysis for finite element approximation of parabolic Neumann
boundary control problems},
journal = {Comput. Math. Appl.},
volume = {158},
pages = {102--117},
year = {2024}
}
@article{DBLP:journals/cma/ShiL24,
author = {Dongyang Shi and
Conggang Liang},
title = {Optimal error estimates of nonconforming Wilson element for nonlinear
nonlocal parabolic problems},
journal = {Comput. Math. Appl.},
volume = {163},
pages = {234--241},
year = {2024}
}
@article{DBLP:journals/cma/ValsethBDR24,
author = {Eirik Valseth and
Pouria Behnoudfar and
Clint Dawson and
Albert Romkes},
title = {Automatic variationally stable analysis for finite element computations:
Transient convection-diffusion problems},
journal = {Comput. Math. Appl.},
volume = {157},
pages = {15--26},
year = {2024}
}
@article{DBLP:journals/cma/Visinoni24,
author = {Michele Visinoni},
title = {A family of three-dimensional virtual elements for Hellinger-Reissner
elasticity problems},
journal = {Comput. Math. Appl.},
volume = {155},
pages = {97--109},
year = {2024}
}
@article{DBLP:journals/cma/WangZD24,
author = {Shuo Wang and
Xiangcheng Zheng and
Ning Du},
title = {Finite element method for an optimal control problem governed by a
time fractional wave equation},
journal = {Comput. Math. Appl.},
volume = {164},
pages = {45--66},
year = {2024}
}
@article{DBLP:journals/cma/YuW24,
author = {Xuhong Yu and
Xiaoyang Wang},
title = {Efficient Legendre-Laguerre spectral element methods for problems
on unbounded domains with diagonalization technique},
journal = {Comput. Math. Appl.},
volume = {159},
pages = {11--20},
year = {2024}
}
@article{DBLP:journals/cma/ZhangZ24a,
author = {Chunxiao Zhang and
Jin Zhang},
title = {Uniform convergence of finite element method on Bakhvalov-type triangular
mesh for a singularly perturbed problem featuring exponential layers},
journal = {Comput. Math. Appl.},
volume = {160},
pages = {171--180},
year = {2024}
}
@article{DBLP:journals/cma/ZhengCW24,
author = {Xianyan Zheng and
Jinru Chen and
Feng Wang},
title = {An extended virtual element method for elliptic interface problems},
journal = {Comput. Math. Appl.},
volume = {156},
pages = {87--102},
year = {2024}
}
@article{DBLP:journals/cma/ZhouZS24,
author = {Xianghai Zhou and
Xiaodi Zhang and
Haiyan Su},
title = {Local and parallel finite element algorithms based on charge-conservation
approximation for the stationary inductionless magnetohydrodynamic
problem},
journal = {Comput. Math. Appl.},
volume = {154},
pages = {224--235},
year = {2024}
}
@article{DBLP:journals/cmam/FoltynLZ24,
author = {Ladislav Foltyn and
Dalibor Luk{\'{a}}s and
Marco Zank},
title = {Robust {PRESB} Preconditioning of a 3-Dimensional Space-Time Finite
Element Method for Parabolic Problems},
journal = {Comput. Methods Appl. Math.},
volume = {24},
number = {2},
pages = {439--452},
year = {2024}
}
@article{DBLP:journals/cmam/JoK24,
author = {Gwanghyun Jo and
Do Y. Kwak},
title = {A New Immersed Finite Element Method for Two-Phase Stokes Problems
Having Discontinuous Pressure},
journal = {Comput. Methods Appl. Math.},
volume = {24},
number = {1},
pages = {49--58},
year = {2024}
}
@article{DBLP:journals/ijcisys/PandyaKCJCA24,
author = {Sundaram B. Pandya and
Kanak Kalita and
Robert Cep and
Pradeep Jangir and
Jasgurpreet Singh Chohan and
Laith Abualigah},
title = {Multi-objective Snow Ablation Optimization Algorithm: An Elementary
Vision for Security-Constrained Optimal Power Flow Problem Incorporating
Wind Energy Source with {FACTS} Devices},
journal = {Int. J. Comput. Intell. Syst.},
volume = {17},
number = {1},
pages = {33},
year = {2024}
}
@article{DBLP:journals/jap/KlumpK24,
author = {Alexander Klump and
Martin Kolb},
title = {An elementary approach to the inverse first-passage-time problem for
soft-killed Brownian motion},
journal = {J. Appl. Probab.},
volume = {61},
number = {1},
pages = {279--300},
year = {2024}
}
@article{DBLP:journals/jcam/ArayaCPV24,
author = {Rodolfo Araya and
Cristian C{\'{a}}rcamo and
Abner H. Poza and
Eduardo Vino},
title = {An adaptive stabilized finite element method for the Stokes-Darcy
coupled problem},
journal = {J. Comput. Appl. Math.},
volume = {443},
pages = {115753},
year = {2024}
}
@article{DBLP:journals/jcam/KhenfarNM24,
author = {Sokina Khenfar and
Serge Nicaise and
Ismail Merabet},
title = {On the finite element approximation of the obstacle problem of a Naghdi
shell},
journal = {J. Comput. Appl. Math.},
volume = {441},
pages = {115670},
year = {2024}
}
@article{DBLP:journals/jcam/LvR24,
author = {Deyong Lv and
Hongxing Rui},
title = {A pressure-robust mixed finite element method for the coupled Stokes-Darcy
problem},
journal = {J. Comput. Appl. Math.},
volume = {436},
pages = {115444},
year = {2024}
}
@article{DBLP:journals/jcam/MengMF24,
author = {Jian Meng and
Liquan Mei and
Mingfa Fei},
title = {H1-conforming virtual element method for the Laplacian eigenvalue
problem in mixed form},
journal = {J. Comput. Appl. Math.},
volume = {436},
pages = {115395},
year = {2024}
}
@article{DBLP:journals/jcam/OliariBSD24,
author = {Victor B. Oliari and
Paulo Rafael B{\"{o}}sing and
Denise de Siqueira and
Philippe R. B. Devloo},
title = {A posteriori error estimates for primal hybrid finite element methods
applied to Poisson problem},
journal = {J. Comput. Appl. Math.},
volume = {441},
pages = {115671},
year = {2024}
}
@article{DBLP:journals/jcam/SykopetritouX24,
author = {Irene Sykopetritou and
Christos Xenophontos},
title = {An hp finite element method for a two-dimensional singularly perturbed
boundary value problem with two small parameters},
journal = {J. Comput. Appl. Math.},
volume = {439},
pages = {115620},
year = {2024}
}
@article{DBLP:journals/jcam/TangXZ24,
author = {Ming Tang and
Xiaoqing Xing and
Liuqiang Zhong},
title = {A posteriori error estimator for mixed interior penalty discontinuous
Galerkin finite element method for the H(curl)-elliptic problems},
journal = {J. Comput. Appl. Math.},
volume = {436},
pages = {115407},
year = {2024}
}
@article{DBLP:journals/jcam/WangLM24,
author = {Yue Wang and
Yonghai Li and
Xiangyun Meng},
title = {An upwind finite volume element method on a Shishkin mesh for singularly
perturbed convection-diffusion problems},
journal = {J. Comput. Appl. Math.},
volume = {438},
pages = {115493},
year = {2024}
}
@article{DBLP:journals/jcam/WangWTL24,
author = {Ruishu Wang and
Zhuoran Wang and
Simon Tavener and
Jiangguo Liu},
title = {Full weak Galerkin finite element discretizations for poroelasticity
problems in the primal formulation},
journal = {J. Comput. Appl. Math.},
volume = {443},
pages = {115754},
year = {2024}
}
@article{DBLP:journals/jcphy/ArrutselviN24,
author = {M. Arrutselvi and
Sundararajan Natarajan},
title = {A Cartesian mesh approach to embedded interface problems using the
virtual element method},
journal = {J. Comput. Phys.},
volume = {508},
pages = {112997},
year = {2024}
}
@article{DBLP:journals/jcphy/CalvoG24,
author = {Juan G. Calvo and
Juan Galvis},
title = {Robust domain decomposition methods for high-contrast multiscale problems
on irregular domains with virtual element discretizations},
journal = {J. Comput. Phys.},
volume = {505},
pages = {112909},
year = {2024}
}
@article{DBLP:journals/jcphy/FuOPL24,
author = {Guosheng Fu and
Stanley J. Osher and
Will Pazner and
Wuchen Li},
title = {Generalized optimal transport and mean field control problems for
reaction-diffusion systems with high-order finite element computation},
journal = {J. Comput. Phys.},
volume = {508},
pages = {112994},
year = {2024}
}
@article{DBLP:journals/jcphy/YueL24,
author = {Junhong Yue and
Peijun Li},
title = {Numerical solution of the cavity scattering problem for flexural waves
on thin plates: Linear finite element methods},
journal = {J. Comput. Phys.},
volume = {497},
pages = {112606},
year = {2024}
}
@article{DBLP:journals/jifs/Zhang24a,
author = {Min Zhang},
title = {Finite element model for partial differential equations in optimization
of vehicle safety collision problem},
journal = {J. Intell. Fuzzy Syst.},
volume = {46},
number = {4},
pages = {10019--10034},
year = {2024}
}
@article{DBLP:journals/jns/LinCH24,
author = {Xiuxiu Lin and
Yanping Chen and
Yunqing Huang},
title = {Error Estimates of hp Spectral Element Methods in Nonlinear Optimal
Control Problem},
journal = {J. Nonlinear Sci.},
volume = {34},
number = {1},
pages = {21},
year = {2024}
}
@article{DBLP:journals/jocs/SinghKJ24,
author = {Jasbir Singh and
Naresh Kumar and
Ram Jiwari},
title = {A robust weak Galerkin finite element method for two parameter singularly
perturbed parabolic problems on nonuniform meshes},
journal = {J. Comput. Sci.},
volume = {77},
pages = {102241},
year = {2024}
}
@article{DBLP:journals/jscic/ChuSJC24,
author = {Hanyu Chu and
Yongzhong Song and
Haifeng Ji and
Ying Cai},
title = {Multigrid Algorithm for Immersed Finite Element Discretizations of
Elliptic Interface Problems},
journal = {J. Sci. Comput.},
volume = {98},
number = {1},
pages = {26},
year = {2024}
}
@article{DBLP:journals/jscic/KumarMRV24,
author = {Sarvesh Kumar and
David Mora and
Ricardo Ruiz{-}Baier and
Nitesh Verma},
title = {Numerical Solution of the Biot/Elasticity Interface Problem Using
Virtual Element Methods},
journal = {J. Sci. Comput.},
volume = {98},
number = {3},
pages = {53},
year = {2024}
}
@article{DBLP:journals/jscic/LouR24,
author = {Yuzhi Lou and
Hongxing Rui},
title = {A Quadratic Discontinuous Finite Volume Element Scheme for Stokes
Problems},
journal = {J. Sci. Comput.},
volume = {99},
number = {2},
pages = {44},
year = {2024}
}
@article{DBLP:journals/jscic/TusharSK24,
author = {Jai Tushar and
Ramesh Chandra Sau and
Anil Kumar},
title = {Virtual Element Method for Control Constrained Dirichlet Boundary
Control Problem Governed by the Diffusion Problem},
journal = {J. Sci. Comput.},
volume = {98},
number = {1},
pages = {21},
year = {2024}
}
@article{DBLP:journals/jscic/WangSYZ24,
author = {Yongshuai Wang and
Feng Shi and
Zemin You and
Haibiao Zheng},
title = {Coupled and Decoupled Stabilized Finite Element Methods for the Stokes-Darcy-Transport
Problem},
journal = {J. Sci. Comput.},
volume = {100},
number = {1},
pages = {7},
year = {2024}
}
@article{DBLP:journals/jscic/WangW24,
author = {Gang Wang and
Ying Wang},
title = {Least-Squares Virtual Element Method for Stokes Problems on Polygonal
Meshes},
journal = {J. Sci. Comput.},
volume = {98},
number = {2},
pages = {46},
year = {2024}
}
@article{DBLP:journals/jscic/ZhuR24,
author = {Na Zhu and
Hongxing Rui},
title = {A Divergence-Free Petrov-Galerkin Immersed Finite Element Method for
Stokes Interface Problem},
journal = {J. Sci. Comput.},
volume = {100},
number = {1},
pages = {4},
year = {2024}
}
@article{DBLP:journals/kbs/JinY24,
author = {Xuefeng Jin and
Shunzheng Yu},
title = {A two-stage method for doubly resource constrained elementary shortest
path problems},
journal = {Knowl. Based Syst.},
volume = {293},
pages = {111661},
year = {2024}
}
@article{DBLP:journals/mma/ChenYZ24,
author = {Fengxin Chen and
Minghui Yang and
Zhaojie Zhou},
title = {Two-Grid Virtual element discretization of quasilinear Elliptic Problem},
journal = {Math. Model. Anal.},
volume = {29},
number = {1},
pages = {77--89},
year = {2024}
}
@article{DBLP:journals/na/ShakyaS24,
author = {Pratibha Shakya and
Rajen Kumar Sinha},
title = {Analysis for the space-time a posteriori error estimates for mixed
finite element solutions of parabolic optimal control problems},
journal = {Numer. Algorithms},
volume = {96},
number = {2},
pages = {879--924},
year = {2024}
}
@article{DBLP:journals/na/SongR24,
author = {Junpeng Song and
Hongxing Rui},
title = {Reduced-order finite element approximation based on {POD} for the
parabolic optimal control problem},
journal = {Numer. Algorithms},
volume = {95},
number = {3},
pages = {1189--1211},
year = {2024}
}
@article{DBLP:journals/siamnum/DemlowN24,
author = {Alan Demlow and
Michael Neilan},
title = {A Tangential and Penalty-Free Finite Element Method for the Surface
Stokes Problem},
journal = {{SIAM} J. Numer. Anal.},
volume = {62},
number = {1},
pages = {248--272},
year = {2024}
}
@article{DBLP:journals/siamnum/Sprekeler24,
author = {Timo Sprekeler},
title = {Homogenization of Nondivergence-Form Elliptic Equations with Discontinuous
Coefficients and Finite Element Approximation of the Homogenized Problem},
journal = {{SIAM} J. Numer. Anal.},
volume = {62},
number = {2},
pages = {646--666},
year = {2024}
}
@article{DBLP:journals/sncs/BhattacharjeeRC24,
author = {Vidyasagar Bhattacharjee and
Provas Kumar Roy and
Chandan Chattoraj},
title = {Opposition-Based Artificial Hummingbird Algorithm Applied to Elementary
Machine Design Problems},
journal = {{SN} Comput. Sci.},
volume = {5},
number = {1},
pages = {175},
year = {2024}
}
@article{DBLP:journals/tcs/LiL24,
author = {Guanzhong Li and
Lvzhou Li},
title = {Optimal deterministic quantum algorithm for the promised element distinctness
problem},
journal = {Theor. Comput. Sci.},
volume = {999},
pages = {114551},
year = {2024}
}
@article{DBLP:journals/tgrs/YuZCKFQ24,
author = {Nian Yu and
Hongye Zhang and
Huang Chen and
Wenxin Kong and
Xiao Feng and
Yunyi Qian},
title = {Three-Dimensional Unstructured Finite Element Modeling of Magnetotelluric
Problems Allowing for Continuous Variation of Conductivity in Each
Block},
journal = {{IEEE} Trans. Geosci. Remote. Sens.},
volume = {62},
pages = {1--12},
year = {2024}
}
@inproceedings{DBLP:conf/isscc/ShimBK24,
author = {Chaeyun Shim and
Jooyoung Bae and
Bongjin Kim},
title = {30.3 VIP-Sat: {A} Boolean Satisfiability Solver Featuring 5{\texttimes}12
Variable In-Memory Processing Elements with 98{\%} Solvability for
50-Variables 218-Clauses 3-SAT Problems},
booktitle = {{ISSCC}},
pages = {486--488},
publisher = {{IEEE}},
year = {2024}
}
@article{DBLP:journals/corr/abs-2401-01618,
author = {Sarvesh Kumar and
Devika Shylaja},
title = {Nonconforming virtual element method for an incompressible miscible
displacement problem in porous media},
journal = {CoRR},
volume = {abs/2401.01618},
year = {2024}
}
@article{DBLP:journals/corr/abs-2401-02181,
author = {Rohit Khandelwal and
Kamana Porwal and
Tanvi Wadhawan},
title = {Supremum norm {A} Posteriori Error control of Quadratic Finite Element
Method for the Signorini problem},
journal = {CoRR},
volume = {abs/2401.02181},
year = {2024}
}
@article{DBLP:journals/corr/abs-2401-04063,
author = {Yue Feng and
Zhijin Guan and
Hehu Xie and
Chenguang Zhou},
title = {Augmented Subspace Scheme for Eigenvalue Problem by Weak Galerkin
Finite Element Method},
journal = {CoRR},
volume = {abs/2401.04063},
year = {2024}
}
@article{DBLP:journals/corr/abs-2401-04485,
author = {Linda Alzaben and
Daniele Boffi and
Andreas Dedner and
Lucia Gastaldi},
title = {On the stabilization of a virtual element method for an acoustic vibration
problem},
journal = {CoRR},
volume = {abs/2401.04485},
year = {2024}
}
@article{DBLP:journals/corr/abs-2401-07807,
author = {Fabian Heimann},
title = {A Higher Order Unfitted Space-Time Finite Element Method for Coupled
Surface-Bulk problems},
journal = {CoRR},
volume = {abs/2401.07807},
year = {2024}
}
@article{DBLP:journals/corr/abs-2401-09714,
author = {Rekha Khot and
Andres E. Rubiano and
Ricardo Ruiz{-}Baier},
title = {Robust virtual element methods for coupled stress-assisted diffusion
problems},
journal = {CoRR},
volume = {abs/2401.09714},
year = {2024}
}
@article{DBLP:journals/corr/abs-2401-11616,
author = {Misael M. Morales and
Shirley Pomeranz},
title = {Boundary element method for the Dirichlet problem for Laplace's equation
on a disk},
journal = {CoRR},
volume = {abs/2401.11616},
year = {2024}
}
@article{DBLP:journals/corr/abs-2401-15582,
author = {Thirupathi Gudi and
Ramesh Chandra Sau},
title = {A two-grid Adaptive Finite Element Method for the Dirichlet Boundary
Control Problem Governed by Stokes Equation},
journal = {CoRR},
volume = {abs/2401.15582},
year = {2024}
}
@article{DBLP:journals/corr/abs-2401-16967,
author = {Jun Hu and
Limin Ma},
title = {A direct finite element method for elliptic interface problems},
journal = {CoRR},
volume = {abs/2401.16967},
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volume = {abs/2402.03314},
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Cristina Bacuta},
title = {Connections Between Finite Difference and Finite Element Approximations
for a Convection-Diffusion Problem},
journal = {CoRR},
volume = {abs/2402.03574},
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@article{DBLP:journals/corr/abs-2402-06311,
author = {Dietmar Gallistl and
Moritz Hauck and
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title = {Mixed finite elements for the Gross-Pitaevskii eigenvalue problem:
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volume = {abs/2402.06311},
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@article{DBLP:journals/corr/abs-2402-10615,
author = {Wietse M. Boon and
Dennis Gl{\"{a}}ser and
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title = {A mortar method for the coupled Stokes-Darcy problem using the {MAC}
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volume = {abs/2402.10615},
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@article{DBLP:journals/corr/abs-2402-12517,
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Yumiao Zhang and
Jinchao Xu and
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Jiarui Han},
title = {A Unified-Field Monolithic Fictitious Domain-Finite Element Method
for Fluid-Structure-Contact Interactions and Applications to Deterministic
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volume = {abs/2402.12517},
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Long Chen and
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title = {Generalised Soft Finite Element Method for Elliptic Eigenvalue Problems},
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@article{DBLP:journals/corr/abs-2403-03418,
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volume = {abs/2403.03418},
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title = {A Functionally Connected Element Method for Solving Boundary Value
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title = {Mixed virtual element approximation for the five-field formulation
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author = {Gilberto Campa{\~{n}}a and
Pablo Mu{\~{n}}oz and
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title = {Finite element approximation for a convective Brinkman-Forchheimer
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volume = {abs/2403.09872},
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title = {Solving the unique continuation problem for Schr{\"{o}}dinger
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Alfonso Caiazzo and
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elements combined with Nitsche},
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volume = {abs/2404.08810},
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title = {A High-Order Conservative Cut Finite Element Method for Problems in
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title = {Robust hybrid finite element methods for reaction-dominated diffusion
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title = {A new framework of high-order unfitted finite element methods using
{ALE} maps for moving-domain problems},
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title = {A High-order Arbitrary Lagrangian-Eulerian Virtual Element Method
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author = {Ying Cai and
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title = {Continuous Linear Finite Element Method for Biharmonic Problems on
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volume = {abs/2404.17958},
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volume = {49},
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@article{DBLP:journals/cma/MaCD23,
author = {Huanhuan Ma and
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Regularized Forcing Data},
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number = {2},
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author = {Chupeng Ma and
Christian Alber and
Robert Scheichl},
title = {Wavenumber Explicit Convergence of a Multiscale Generalized Finite
Element Method for Heterogeneous Helmholtz Problems},
journal = {{SIAM} J. Numer. Anal.},
volume = {61},
number = {3},
pages = {1546--1584},
year = {2023}
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author = {Jilian Wu and
Ning Li and
Xinlong Feng},
title = {Analysis of a Filtered Time-Stepping Finite Element Method for Natural
Convection Problems},
journal = {{SIAM} J. Numer. Anal.},
volume = {61},
number = {2},
pages = {837--871},
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author = {Long Chen and
Ruchi Guo and
Jun Zou},
title = {A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional
{\textbackslash}({\textbackslash}bf\{H\}({\textbackslash}operatorname\{curl\}){\textbackslash})
Interface Problems},
journal = {{SIAM} J. Sci. Comput.},
volume = {45},
number = {6},
pages = {3121},
year = {2023}
}
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author = {Delyan Z. Kalchev and
Panayot S. Vassilevski and
Umberto Villa},
title = {Parallel Element-Based Algebraic Multigrid for {\textbackslash}({\textbackslash}boldsymbol\{H\}{\textbackslash})
(curl) and {\textbackslash}({\textbackslash}boldsymbol\{H\}{\textbackslash})
(div) Problems Using the ParELAG Library},
journal = {{SIAM} J. Sci. Comput.},
volume = {45},
number = {3},
pages = {S371--S400},
year = {2023}
}
@article{DBLP:journals/symmetry/MartynovaMOS23,
author = {Tatiana Martynova and
Galina Muratova and
Pavel Oganesyan and
Olga Shtein},
title = {The Numerical Solution of Large-Scale Generalized Eigenvalue Problems
Arising from Finite-Element Modeling of Electroelastic Materials},
journal = {Symmetry},
volume = {15},
number = {1},
pages = {171},
year = {2023}
}
@article{DBLP:journals/symmetry/SedelnikovOSN23,
author = {Andrey Sedelnikov and
Denis M. Orlov and
V. V. Serdakova and
Alexandra Nikolaeva},
title = {The Symmetric Formulation of the Temperature Shock Problem for a Small
Spacecraft with Two Elastic Elements},
journal = {Symmetry},
volume = {15},
number = {1},
pages = {172},
year = {2023}
}
@inproceedings{DBLP:conf/gecco/BenavidesCH023,
author = {Xabier Benavides and
Josu Ceberio and
Leticia Hernando and
Jos{\'{e}} Antonio Lozano},
title = {New Knowledge about the Elementary Landscape Decomposition for Solving
the Quadratic Assignment Problem},
booktitle = {{GECCO}},
pages = {239--247},
publisher = {{ACM}},
year = {2023}
}
@inproceedings{DBLP:conf/icdte/WangKL23,
author = {Shang Wang and
Xiangyun Kong and
Jiangyi Lv},
title = {Visualization of Complex Mechanics Problems Using Finite Element Technique
for Enhancing Problem-based Learning Instruction},
booktitle = {{ICDTE}},
pages = {65--71},
publisher = {{ACM}},
year = {2023}
}
@inproceedings{DBLP:conf/iceis/CamposDGMGC23,
author = {Brendo Campos and
Jos{\'{e}} Carlos Duarte and
Genildo Gomes and
Leonardo C. Marques and
Bruno Gadelha and
Tayana Conte},
title = {A Problem Analysis in Game-Based Student Response System from {UX}
Elements Perspective},
booktitle = {{ICEIS} {(2)}},
pages = {328--335},
publisher = {{SCITEPRESS}},
year = {2023}
}
@inproceedings{DBLP:conf/iecon/LawQCMJGP23,
author = {Yee Wei Law and
Yu Qiao and
Christopher W. K. Chow and
Romeo Marian and
Neda Gorjian Jolfaei and
Nima Gorjian and
Jeng{-}Shyang Pan},
title = {Diagnosing Rolling-Element Bearing Faults in the Real World: Problem
Solved?},
booktitle = {{IECON}},
pages = {1--6},
publisher = {{IEEE}},
year = {2023}
}
@article{DBLP:journals/corr/abs-2301-01563,
author = {Ming Tang and
Xiaoqing Xing and
Liuqiang Zhong},
title = {A Posterior Error Estimator for Mixed Interior Penalty Discontinuous
Galerkin Finite Element Method for the H(curl)-Elliptic Problems},
journal = {CoRR},
volume = {abs/2301.01563},
year = {2023}
}
@article{DBLP:journals/corr/abs-2301-03172,
author = {Lixiu Wang and
Mingyan Zhang and
Qian Zhang},
title = {Fully H(gradcurl)-nonconforming Finite Element Method for The Singularly
Perturbed Quad-curl Problem on Cubical Meshes},
journal = {CoRR},
volume = {abs/2301.03172},
year = {2023}
}
@article{DBLP:journals/corr/abs-2301-08944,
author = {Zhiming Chen and
Ke Li and
Xueshuang Xiang},
title = {A high order unfitted finite element method for time-Harmonic Maxwell
interface problems},
journal = {CoRR},
volume = {abs/2301.08944},
year = {2023}
}
@article{DBLP:journals/corr/abs-2302-01674,
author = {Xiaofei Guan and
Lijian Jiang and
Yajun Wang and
Zihao Yang},
title = {A coupling generalized multiscale finite element method for coupled
thermomechanical problems},
journal = {CoRR},
volume = {abs/2302.01674},
year = {2023}
}
@article{DBLP:journals/corr/abs-2302-02863,
author = {Wenyu Lei and
George Turkiyyah and
Omar M. Knio},
title = {Finite element discretizations for variable-order fractional diffusion
problems},
journal = {CoRR},
volume = {abs/2302.02863},
year = {2023}
}
@article{DBLP:journals/corr/abs-2302-03370,
author = {Alberto Artoni and
Paola F. Antonietti and
Ilario Mazzieri and
Nicola Parolini and
Daniele Rocchi},
title = {A segregated finite volume - spectral element method for aeroacoustic
problems},
journal = {CoRR},
volume = {abs/2302.03370},
year = {2023}
}
@article{DBLP:journals/corr/abs-2302-07809,
author = {Constantin Bacuta and
Daniel Hayes and
Tyler O'Grady},
title = {Notes on Finite Element Discretization for a Model Convection-Diffusion
Problem},
journal = {CoRR},
volume = {abs/2302.07809},
year = {2023}
}
@article{DBLP:journals/corr/abs-2302-09570,
author = {Chunmei Liu and
Liuqiang Zhong and
Yingying Xie and
Liping Zhou},
title = {A Posteriori Error Estimates for {A} Modified Weak Galerkin Finite
Element Method Solving Linear Elasticity Problems},
journal = {CoRR},
volume = {abs/2302.09570},
year = {2023}
}
@article{DBLP:journals/corr/abs-2303-00710,
author = {Danilo Amigo and
Felipe Lepe and
Gonzalo Rivera},
title = {A virtual element method for the elasticity spectral problem allowing
small edges},
journal = {CoRR},
volume = {abs/2303.00710},
year = {2023}
}
@article{DBLP:journals/corr/abs-2303-02564,
author = {Chunxiao Zhang and
Jin Zhang},
title = {Supercloseness of finite element method for a singularly perturbed
convection-diffusion problem on Bakhvalov-type mesh in 2D},
journal = {CoRR},
volume = {abs/2303.02564},
year = {2023}
}
@article{DBLP:journals/corr/abs-2303-03060,
author = {Christian Clason and
Vu Huu Nhu and
Arnd R{\"{o}}sch},
title = {Numerical analysis of a nonsmooth quasilinear elliptic control problem:
{II.} Finite element discretization and error estimates},
journal = {CoRR},
volume = {abs/2303.03060},
year = {2023}
}
@article{DBLP:journals/corr/abs-2303-05805,
author = {Jun Hu and
Rui Ma and
Yuanxun Sun},
title = {A lower order element for the linear elasticity problem in 3D},
journal = {CoRR},
volume = {abs/2303.05805},
year = {2023}
}
@article{DBLP:journals/corr/abs-2303-05840,
author = {Christian Meyer and
Annika M{\"{u}}ller},
title = {Finite Element Approximation of Data-Driven Problems in Conductivity},
journal = {CoRR},
volume = {abs/2303.05840},
year = {2023}
}
@article{DBLP:journals/corr/abs-2303-08375,
author = {Abdeladim El Akri and
Khalide Jbilou and
Ahmed Ratnani},
title = {Auxiliary Splines Space Preconditioning for B-Splines Finite Elements:
The case of H(curl, {\(\Omega\)}) and H(div, {\(\Omega\)}) elliptic
problems},
journal = {CoRR},
volume = {abs/2303.08375},
year = {2023}
}
@article{DBLP:journals/corr/abs-2304-00095,
author = {Daniele Boffi and
Ramon Codina and
{\"{O}}nder T{\"{u}}rk},
title = {Finite element formulations for Maxwell's eigenvalue problem using
continuous Lagrangian interpolations},
journal = {CoRR},
volume = {abs/2304.00095},
year = {2023}
}
@article{DBLP:journals/corr/abs-2304-06553,
author = {Karl Hollaus and
Markus Sch{\"{o}}binger},
title = {Multiscale Finite Element Formulations for 2D/1D Problems},
journal = {CoRR},
volume = {abs/2304.06553},
year = {2023}
}
@article{DBLP:journals/corr/abs-2304-07936,
author = {Hengguang Li and
Peimeng Yin},
title = {A C\({}^{\mbox{0}}\) finite element algorithm for the sixth order
problem with simply supported boundary conditions},
journal = {CoRR},
volume = {abs/2304.07936},
year = {2023}
}
@article{DBLP:journals/corr/abs-2304-11368,
author = {Jin Zhang and
Chunxiao Zhang},
title = {Uniform convergence of finite element method on Bakhvalov-type mesh
for a 2-D singularly perturbed convection-diffusion problem with exponential
layers},
journal = {CoRR},
volume = {abs/2304.11368},
year = {2023}
}
@article{DBLP:journals/corr/abs-2304-11908,
author = {Daniele Boffi and
Andrea Cangiani and
Marco Feder and
Lucia Gastaldi and
Luca Heltai},
title = {A comparison of non-matching techniques for the finite element approximation
of interface problems},
journal = {CoRR},
volume = {abs/2304.11908},
year = {2023}
}
@article{DBLP:journals/corr/abs-2304-14879,
author = {Robert C. Kirby},
title = {On the convergence of monolithic multigrid for implicit Runge-Kutta
time stepping of finite element problems},
journal = {CoRR},
volume = {abs/2304.14879},
year = {2023}
}
@article{DBLP:journals/corr/abs-2305-00407,
author = {Bishnu P. Lamichhane},
title = {An optimal error estimate for a mixed finite element method for a
biharmonic problem with clamped boundary conditions},
journal = {CoRR},
volume = {abs/2305.00407},
year = {2023}
}
@article{DBLP:journals/corr/abs-2305-08736,
author = {Dan Li and
Chunmei Wang and
Junping Wang and
Xiu Ye},
title = {Generalized weak Galerkin finite element methods for second order
elliptic problems},
journal = {CoRR},
volume = {abs/2305.08736},
year = {2023}
}
@article{DBLP:journals/corr/abs-2305-16036,
author = {Shusheng Li and
Qilong Zhai},
title = {The weak Galerkin finite element method for the Steklov eigenvalue
problem},
journal = {CoRR},
volume = {abs/2305.16036},
year = {2023}
}
@article{DBLP:journals/corr/abs-2305-18711,
author = {Charuka D. Wickramasinghe},
title = {A Mixed Finite Element Method for Singularly Perturbed Fourth Oder
Convection-Reaction-Diffusion Problems on Shishkin Mesh},
journal = {CoRR},
volume = {abs/2305.18711},
year = {2023}
}
@article{DBLP:journals/corr/abs-2305-19652,
author = {Michele Visinoni},
title = {A family of three-dimensional Virtual Elements for Hellinger-Reissner
elasticity problems},
journal = {CoRR},
volume = {abs/2305.19652},
year = {2023}
}
@article{DBLP:journals/corr/abs-2305-19833,
author = {Timo Sprekeler},
title = {Homogenization of nondivergence-form elliptic equations with discontinuous
coefficients and finite element approximation of the homogenized problem},
journal = {CoRR},
volume = {abs/2305.19833},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-01416,
author = {Sebastian Kinnewig and
Thomas Wick and
Sven Beuchler},
title = {Algorithmic realization of the solution to the sign conflict problem
for hanging nodes on hp-hexahedral N{\'{e}}d{\'{e}}lec elements},
journal = {CoRR},
volume = {abs/2306.01416},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-02805,
author = {Pari J. Kundaliya},
title = {Fractional Crank-Nicolson Galerkin finite element analysis for coupled
time-fractional nonlocal parabolic problem},
journal = {CoRR},
volume = {abs/2306.02805},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-03246,
author = {Wei Gong and
Zhiyu Tan},
title = {A new finite element method for elliptic optimal control problems
with pointwise state constraints in energy spaces},
journal = {CoRR},
volume = {abs/2306.03246},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-03719,
author = {Sarvesh Kumar and
David Mora and
Ricardo Ruiz{-}Baier and
Nitesh Verma},
title = {Numerical solution of the Biot/elasticity interface problem using
virtual element methods},
journal = {CoRR},
volume = {abs/2306.03719},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-05248,
author = {Buyang Li and
Weiwei Sun and
Yupei Xie and
Wenshan Yu},
title = {A new framework for the analysis of finite element methods for fluid-structure
interaction problems},
journal = {CoRR},
volume = {abs/2306.05248},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-06287,
author = {Guosheng Fu and
Stanley J. Osher and
Will Pazner and
Wuchen Li},
title = {Generalized optimal transport and mean field control problems for
reaction-diffusion systems with high-order finite element computation},
journal = {CoRR},
volume = {abs/2306.06287},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-06304,
author = {Santiago Badia and
Wei Li and
Alberto F. Mart{\'{\i}}n},
title = {Finite element interpolated neural networks for solving forward and
inverse problems},
journal = {CoRR},
volume = {abs/2306.06304},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-07167,
author = {Bernhard Endtmayer and
Ulrich Langer and
Andreas Schafelner},
title = {Goal-Oriented Adaptive Space-Time Finite Element Methods for Regularized
Parabolic p-Laplace Problems},
journal = {CoRR},
volume = {abs/2306.07167},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-08801,
author = {Fanyi Yang},
title = {The Least Squares Finite Element Method for Elasticity Interface Problem
on Unfitted Mesh},
journal = {CoRR},
volume = {abs/2306.08801},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-10018,
author = {Slimane Adjerid and
Tao Lin and
Haroun Meghaichi},
title = {A unified immersed finite element error analysis for one-dimensional
interface problems},
journal = {CoRR},
volume = {abs/2306.10018},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-11324,
author = {J{\"{u}}rgen D{\"{o}}lz and
Helmut Harbrecht and
Michael D. Multerer},
title = {Solving acoustic scattering problems by the isogeometric boundary
element method},
journal = {CoRR},
volume = {abs/2306.11324},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-12722,
author = {Christoph Lehrenfeld and
Tim van Beeck and
Igor Voulis},
title = {Analysis of divergence-preserving unfitted finite element methods
for the mixed Poisson problem},
journal = {CoRR},
volume = {abs/2306.12722},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-12854,
author = {Jens Visbech and
Allan P. Engsig{-}Karup and
Harry B. Bingham},
title = {Solving the complete pseudo-impulsive radiation and diffraction problem
using a spectral element method},
journal = {CoRR},
volume = {abs/2306.12854},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-15316,
author = {Peter Gangl and
Richard L{\"{o}}scher and
Olaf Steinbach},
title = {Regularization and finite element error estimates for elliptic distributed
optimal control problems with energy regularization and state or control
constraints},
journal = {CoRR},
volume = {abs/2306.15316},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-15325,
author = {Cetin B. Dilgen and
Niels Aage},
title = {Topology optimization of transient vibroacoustic problems for broadband
filter design using cut elements},
journal = {CoRR},
volume = {abs/2306.15325},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-15424,
author = {Juan G. Calvo and
Juan Galvis},
title = {Robust domain decomposition methods for high-contrast multiscale problems
on irregular domains with virtual element discretizations},
journal = {CoRR},
volume = {abs/2306.15424},
year = {2023}
}
@article{DBLP:journals/corr/abs-2306-15867,
author = {Shicheng Liu and
Xiangyun Meng and
Qilong Zhai},
title = {Convergence analysis of a weak Galerkin finite element method on a
Shishkin mesh for a singularly perturbed fourth-order problem in 2D},
journal = {CoRR},
volume = {abs/2306.15867},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-00947,
author = {Uladzislau Kapustsin and
Utku Kaya and
Thomas Richter},
title = {A hybrid finite element/neural network solver and its application
to the Poisson problem},
journal = {CoRR},
volume = {abs/2307.00947},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-01435,
author = {Alan Demlow and
Michael Neilan},
title = {A tangential and penalty-free finite element method for the surface
Stokes problem},
journal = {CoRR},
volume = {abs/2307.01435},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-02349,
author = {Moritz von Tresckow and
Herbert De Gersem and
Dimitrios Loukrezis},
title = {Error Approximation and Bias Correction in Dynamic Problems using
a Recurrent Neural Network/Finite Element Hybrid Model},
journal = {CoRR},
volume = {abs/2307.02349},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-04555,
author = {L. Beir{\~{a}}o da Veiga and
Carlo Lovadina and
M. Trezzi},
title = {CIP-stabilized Virtual Elements for diffusion-convection-reaction
problems},
journal = {CoRR},
volume = {abs/2307.04555},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-05210,
author = {Erik Burman and
Janosch Preu{\ss}},
title = {Unique continuation for an elliptic interface problem using unfitted
isoparametric finite elements},
journal = {CoRR},
volume = {abs/2307.05210},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-09103,
author = {Lutz Angermann},
title = {Finite element solution of a radiation/propagation problem for a Helmholtz
equation with a compactly supported nonlinearity},
journal = {CoRR},
volume = {abs/2307.09103},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-12455,
author = {Julian Roth and
Martyna Soszynska and
Thomas Richter and
Thomas Wick},
title = {A monolithic space-time temporal multirate finite element framework
for interface and volume coupled problems},
journal = {CoRR},
volume = {abs/2307.12455},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-13786,
author = {Junhong Yue and
Peijun Li},
title = {Numerical solution of the cavity scattering problem for flexural waves
on thin plates: linear finite element methods},
journal = {CoRR},
volume = {abs/2307.13786},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-16474,
author = {Stefano Berrone and
Stefano Scial{\`{o}} and
Gioana Teora},
title = {The Mixed Virtual Element Discretization for highly-anisotropic problems:
the role of the boundary degrees of freedom},
journal = {CoRR},
volume = {abs/2307.16474},
year = {2023}
}
@article{DBLP:journals/corr/abs-2307-16497,
author = {Hao Liu and
Shingyu Leung and
Jianliang Qian},
title = {Operator Splitting/Finite Element Methods for the Minkowski Problem},
journal = {CoRR},
volume = {abs/2307.16497},
year = {2023}
}
@article{DBLP:journals/corr/abs-2308-00910,
author = {Haifeng Ji and
Dong Liang and
Qian Zhang},
title = {A Mini Immersed Finite Element Method for Two-Phase Stokes Problems
on Cartesian Meshes},
journal = {CoRR},
volume = {abs/2308.00910},
year = {2023}
}
@article{DBLP:journals/corr/abs-2308-01444,
author = {Michael Neilan and
Maxim A. Olshanskii},
title = {An Eulerian finite element method for the linearized Navier-Stokes
problem in an evolving domain},
journal = {CoRR},
volume = {abs/2308.01444},
year = {2023}
}
@article{DBLP:journals/corr/abs-2308-02008,
author = {Th{\'{e}}ophile Chaumont{-}Frelet},
title = {An equilibrated estimator for mixed finite element discretizations
of the curl-curl problem},
journal = {CoRR},
volume = {abs/2308.02008},
year = {2023}
}
@article{DBLP:journals/corr/abs-2308-07680,
author = {Jindong Wang and
Shuonan Wu},
title = {Exponentially-fitted finite elements for H(curl) and H(div) convection-diffusion
problems},
journal = {CoRR},
volume = {abs/2308.07680},
year = {2023}
}
@article{DBLP:journals/corr/abs-2308-14872,
author = {Dmitri Kuzmin and
M{\'{a}}ria Luk{\'{a}}cov{\'{a}}{-}Medvid'ov{\'{a}} and
Philipp {\"{O}}ffner},
title = {Consistency and convergence of flux-corrected finite element methods
for nonlinear hyperbolic problems},
journal = {CoRR},
volume = {abs/2308.14872},
year = {2023}
}
@article{DBLP:journals/corr/abs-2308-15182,
author = {Tom Gustafsson and
Juha H. Videman},
title = {Stabilised finite element method for Stokes problem with nonlinear
slip condition},
journal = {CoRR},
volume = {abs/2308.15182},
year = {2023}
}
@article{DBLP:journals/corr/abs-2309-00321,
author = {Martin Schneider and
Timo Koch},
title = {Stable and locally mass- and momentum-conservative control-volume
finite-element schemes for the Stokes problem},
journal = {CoRR},
volume = {abs/2309.00321},
year = {2023}
}
@article{DBLP:journals/corr/abs-2309-01930,
author = {Xinchen Zhou and
Zhaoliang Meng and
Hexin Niu},
title = {Superconvergence of a nonconforming brick element for the quad-curl
problem},
journal = {CoRR},
volume = {abs/2309.01930},
year = {2023}
}
@article{DBLP:journals/corr/abs-2309-04013,
author = {Shiheng Zhang and
Jiahao Zhang and
Jie Shen and
Guang Lin},
title = {An Element-wise {RSAV} Algorithm for Unconstrained Optimization Problems},
journal = {CoRR},
volume = {abs/2309.04013},
year = {2023}
}
@article{DBLP:journals/corr/abs-2309-05255,
author = {Fuchang Huo and
Ruishu Wang and
Yanqiu Wang and
Ran Zhang},
title = {A Locking-Free Weak Galerkin Finite Element Method for Linear Elasticity
Problems},
journal = {CoRR},
volume = {abs/2309.05255},
year = {2023}
}
@article{DBLP:journals/corr/abs-2309-10387,
author = {Torsten Lin{\ss} and
Christos Xenophontos},
title = {Balanced norm estimates for rp-Finite Element Methods applied to singularly
perturbed fourth order boundary value problems},
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title = {Generalized Multiscale Finite Element Method for thermoporoelasticity
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title = {Residual-based \emph{a posteriori} error estimators for mixed finite
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title = {A modified weak Galerkin finite element method for nonmonotone quasilinear
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title = {A study of mixed problem for second order elliptic problems using
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title = {A recovery-based a posteriori error estimator of the weak Galerkin
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title = {A lowest-order free-stabilization Virtual Element Method for the Laplacian
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title = {Mixed Generalized Multiscale Finite Element Method for flow problem
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title = {A conforming discontinuous Galerkin finite element method for elliptic
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author = {Mofdi El{-}Amrani and
Abdellah El{-}Kacimi and
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title = {Bernstein-B{\'{e}}zier Galerkin-Characteristics Finite Element
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title = {A Pseudostress-Based Mixed-Primal Finite Element Method for Stress-Assisted
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author = {Xue Jiang and
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title = {A {PML} Finite Element Method for Electromagnetic Scattering Problems
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title = {Local a Posteriori Error Analysis of Finite Element Method for Parabolic
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title = {A Conforming Discontinuous Galerkin Finite Element Method for Linear
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Xiangyun Meng and
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title = {The Bogner-Fox-Schmit Element Finite Volume Methods on the Shishkin
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author = {Yanfang Yang and
Shubin Fu and
Eric T. Chung},
title = {An Adaptive Generalized Multiscale Finite Element Method Based Two-Grid
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title = {An Unfitted Finite Element Method by Direct Extension for Elliptic
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author = {Jiachuan Zhang and
Ran Zhang and
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title = {A Posteriori Estimates of Taylor-Hood Element for Stokes Problem Using
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author = {Jikun Zhao and
Tianle Wang and
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title = {The Stabilized Nonconforming Virtual Element Method for Linear Elasticity
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author = {Ramiro Acevedo and
Christian G{\'{o}}mez and
Bibiana L{\'{o}}pez{-}Rodr{\'{\i}}guez},
title = {Fully-discrete finite element Approximation for a family of degenerate
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Jiguang Sun and
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author = {Hanzhang Hu},
title = {Two-grid method for compressible miscible displacement problem by
mixed finite element methods and expanded mixed finite element method
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journal = {Numer. Algorithms},
volume = {89},
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author = {Do{-}Young Kwak and
Hyeokjoo Park},
title = {A formal construction of a divergence-free basis in the nonconforming
virtual element method for the Stokes problem},
journal = {Numer. Algorithms},
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author = {Qiming Wang and
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title = {A priori and a posteriori error analysis for virtual element discretization
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author = {Jin Zhang and
Yanhui Lv},
title = {Finite element method for singularly perturbed problems with two parameters
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journal = {Numer. Algorithms},
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author = {Anna Kh. Balci and
Christoph Ortner and
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title = {Crouzeix-Raviart finite element method for non-autonomous variational
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journal = {Numerische Mathematik},
volume = {151},
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author = {Erik Burman and
Mihai Nechita and
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title = {A stabilized finite element method for inverse problems subject to
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journal = {Numerische Mathematik},
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author = {Cu Cui and
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Uday Banerjee and
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title = {Stable generalized finite element method {(SGFEM)} for three-dimensional
crack problems},
journal = {Numerische Mathematik},
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author = {Fatih Ecevit and
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title = {Spectral Galerkin boundary element methods for high-frequency sound-hard
scattering problems},
journal = {Numerische Mathematik},
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author = {Peijun Li and
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title = {An adaptive finite element DtN method for the elastic wave scattering
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title = {Finite Element Analysis of a Constrained Dirichlet Boundary Control
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Silvia Falletta and
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title = {On the Coupling of the Curved Virtual Element Method with the One-Equation
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Erik Burman and
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Guillermo M. {\'{A}}lamo and
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title = {MultiFEBE: {A} multi-domain finite element-boundary element solver
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Merrick Ohata},
title = {Game Balancing in Dominion: An Approach to Identifying Problematic
Game Elements},
booktitle = {{AAAI}},
pages = {12744--12750},
publisher = {{AAAI} Press},
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author = {Rebeca Almonacid and
Jaime S{\'{a}}nchez},
title = {Serious Video Game Interaction for Collaborative Problem Solving in
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booktitle = {{HCI} {(27)}},
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title = {Error Debugging Problem in Python Programming Learning Assistant System
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booktitle = {{ICCDE}},
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title = {Application of Finite Element Modeling and Simulation Aimed at Solving
Students' Learning Problems},
booktitle = {{ICETC}},
pages = {189--193},
publisher = {{ACM}},
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author = {Samuel Cognolato and
Alberto Testolin},
title = {Transformers discover an elementary calculation system exploiting
local attention and grid-like problem representation},
booktitle = {{IJCNN}},
pages = {1--8},
publisher = {{IEEE}},
year = {2022}
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author = {Yuqi Su and
Tony Tae{-}Hyoung Kim and
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title = {FlexSpin: {A} Scalable {CMOS} Ising Machine with 256 Flexible Spin
Processing Elements for Solving Complex Combinatorial Optimization
Problems},
booktitle = {{ISSCC}},
pages = {1--3},
publisher = {{IEEE}},
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author = {Krista D. Glazewski and
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Seung Y. Lee and
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title = {PrimaryAI: Co-Designing Immersive Problem-Based Learning for Upper
Elementary Student Learning of {AI} Concepts and Practices},
booktitle = {ITiCSE {(2)}},
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author = {Maria A. Gaponova and
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title = {Using Machine Learning Methods to Solve Problems of Monitoring the
State of Steel Structure Elements},
booktitle = {{KES-IDT}},
series = {Smart Innovation, Systems and Technologies},
volume = {309},
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author = {Consuelo Assunta Colabuono and
Douglas Wiemer and
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Domenico Lof{\`{u}} and
Marco Pappalardo and
Piotr Bogacki and
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Jan Derkacz and
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Ewa Konieczna and
Maya Bojilova and
Giuseppe Chechile and
Riccardo Feletto and
Marco Dri and
Massimo Zamagni and
Emanuele Sansebastiano and
Gr{\'{e}}gory Depaix and
Cyril Ceresola and
Bernard Opic and
Massimo Ravenna and
Marco Quartullo and
Andrea Guarino and
Paolo Modica and
Raniero Rapone and
Massimiliano Tarquini and
Stefano Armenia},
title = {Approach to Sector-Specific Cybersecurity Schemes: Key Elements and
Security Problem Definition},
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author = {Rub{\'{e}}n Aylwin and
Carlos Jerez{-}Hanckes},
title = {Finite-Element Domain Approximation for Maxwell Variational Problems
on Curved Domains},
journal = {CoRR},
volume = {abs/2201.00883},
year = {2022}
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author = {Mostafa Faraji and
Alexander Seitz and
Christoph Meier and
Wolfgang A. Wall},
title = {A Mortar Finite Element Formulation for Large Deformation Lubricated
Contact Problems with Smooth Transition Between Mixed, Elasto-Hydrodynamic
and Full Hydrodynamic Lubrication},
journal = {CoRR},
volume = {abs/2201.01095},
year = {2022}
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author = {Masaru Miyashita and
Norikazu Saito},
title = {A finite element method to a periodic steady-state problem for an
electromagnetic field system using the space-time finite element exterior
calculus},
journal = {CoRR},
volume = {abs/2201.04481},
year = {2022}
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author = {Changqing Ye and
Eric T. Chung},
title = {Constraint energy minimizing generalized multiscale finite element
method for inhomogeneous boundary value problems with high contrast
coefficients},
journal = {CoRR},
volume = {abs/2201.04834},
year = {2022}
}
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author = {Pascal Az{\'{e}}rad and
Marien{-}Lorenzo Hanot},
title = {Numerical solution of the div-curl problem by finite element exterior
calculus},
journal = {CoRR},
volume = {abs/2201.06800},
year = {2022}
}
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author = {Lucie Pansart and
Hadrien Cambazard and
Nicolas Catusse},
title = {Dealing with elementary paths in the Kidney Exchange Problem},
journal = {CoRR},
volume = {abs/2201.08446},
year = {2022}
}
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author = {Stefano Berrone and
Andrea Borio and
Francesca Marcon},
title = {Comparison of standard and stabilization free Virtual Elements on
anisotropic elliptic problems},
journal = {CoRR},
volume = {abs/2202.08571},
year = {2022}
}
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author = {Adam Sky and
Ingo M{\"{u}}nch and
Patrizio Neff},
title = {On H1, H(curl) and H(sym Curl) finite elements for matrix-valued Curl
problems},
journal = {CoRR},
volume = {abs/2202.08740},
year = {2022}
}
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author = {Shuhao Cao and
Long Chen and
Ruchi Guo},
title = {Immersed Virtual Element Methods for Maxwell Interface Problems in
Three Dimensions},
journal = {CoRR},
volume = {abs/2202.09987},
year = {2022}
}
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author = {Qichen Hong and
Hehu Xie and
Fei Xu},
title = {An Efficient Adaptive Finite Element Method for Eigenvalue Problems},
journal = {CoRR},
volume = {abs/2202.11914},
year = {2022}
}
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author = {Kuokuo Zhang and
Weibing Deng and
Haijun Wu},
title = {A combined multiscale finite element method based on the {LOD} technique
for the multiscale elliptic problems with singularities},
journal = {CoRR},
volume = {abs/2202.13044},
year = {2022}
}
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author = {Minglang Yin and
Enrui Zhang and
Yue Yu and
George Em Karniadakis},
title = {Interfacing Finite Elements with Deep Neural Operators for Fast Multiscale
Modeling of Mechanics Problems},
journal = {CoRR},
volume = {abs/2203.00003},
year = {2022}
}
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author = {Jiachuan Zhang and
Ran Zhang and
Xiaoshen Wang},
title = {A Posteriori Estimates of Taylor-Hood Element for Stokes Problem Using
Auxiliary Subspace Techniques},
journal = {CoRR},
volume = {abs/2203.05929},
year = {2022}
}
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author = {Pei Cao and
Jinru Chen and
Feng Wang},
title = {An extended mixed finite element method for elliptic interface problems},
journal = {CoRR},
volume = {abs/2203.05941},
year = {2022}
}
@article{DBLP:journals/corr/abs-2203-07012,
author = {Denise Grappein and
Stefano Scial{\`{o}} and
Fabio Vicini},
title = {Extended Finite Elements for 3D-1D coupled problems via a PDE-constrained
optimization approach},
journal = {CoRR},
volume = {abs/2203.07012},
year = {2022}
}
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author = {Fleurianne Bertrand and
Daniele Boffi and
Abdul Halim},
title = {A reduced order model for the finite element approximation of eigenvalue
problems},
journal = {CoRR},
volume = {abs/2203.14880},
year = {2022}
}
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author = {Yuhang Ren and
Demin Liu},
title = {A Pressure Correction Projection Finite Element Method for The 2D/3D
Time-Dependent Thermomicropolar Fluid Problem},
journal = {CoRR},
volume = {abs/2203.15419},
year = {2022}
}
@article{DBLP:journals/corr/abs-2203-16152,
author = {Michel Make and
Thomas Spenke and
Norbert Hosters and
Marek Behr},
title = {Spline-Based Space-Time Finite Element Approach for Fluid-Structure
Interaction Problems With a Focus on Fully Enclosed Domains},
journal = {CoRR},
volume = {abs/2203.16152},
year = {2022}
}
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author = {Yannis Voet},
title = {On the fast assemblage of finite element matrices with application
to nonlinear heat transfer problems},
journal = {CoRR},
volume = {abs/2204.03893},
year = {2022}
}
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author = {Daniele Boffi and
Sining Gong and
Johnny Guzm{\'{a}}n and
Michael Neilan},
title = {Convergence of Lagrange Finite Element Methods for Maxwell Eigenvalue
Problem in 3D},
journal = {CoRR},
volume = {abs/2204.10876},
year = {2022}
}
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author = {Jens Visbech and
Allan P. Engsig{-}Karup and
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title = {A spectral element solution of the 2D linearized potential flow radiation
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journal = {CoRR},
volume = {abs/2205.00184},
year = {2022}
}
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author = {Denis Spiridonov and
Sergei P. Stepanov and
Vasil'ev Vasiliy},
title = {An Online Generalized Multiscale finite element method for heat and
mass transfer problem with artificial ground freezing},
journal = {CoRR},
volume = {abs/2205.01896},
year = {2022}
}
@article{DBLP:journals/corr/abs-2205-08321,
author = {Rishith Ellath Meethal and
Birgit Obst and
Mohamed Khalil and
Aditya Ghantasala and
Anoop Kodakkal and
Kai{-}Uwe Bletzinger and
Roland W{\"{u}}chner},
title = {Finite Element Method-enhanced Neural Network for Forward and Inverse
Problems},
journal = {CoRR},
volume = {abs/2205.08321},
year = {2022}
}
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author = {Sethupathy Subramanian and
Sujata Bhowmick},
title = {A Stable Weighted Residual Finite Element Formulation for the Simulation
of Linear Moving Conductor Problems},
journal = {CoRR},
volume = {abs/2205.13070},
year = {2022}
}
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author = {Long Chen and
Ruchi Guo and
Jun Zou},
title = {A family of immersed finite element spaces and applications to three
dimensional H(curl) interface problems},
journal = {CoRR},
volume = {abs/2205.14127},
year = {2022}
}
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author = {Sujata Bhowmick and
Sethupathy Subramanian},
title = {The Source Stabilized Galerkin Formulation for Linear Moving Conductor
Problems with Edge Elements},
journal = {CoRR},
volume = {abs/2205.14966},
year = {2022}
}
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author = {Sowmya S. Sundaram and
Sairam Gurajada and
Marco Fisichella and
Deepak P and
Savitha Sam Abraham},
title = {Why are {NLP} Models Fumbling at Elementary Math? {A} Survey of Deep
Learning based Word Problem Solvers},
journal = {CoRR},
volume = {abs/2205.15683},
year = {2022}
}
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author = {Jiguang Sun},
title = {Regular Convergence and Finite Element Methods for Eigenvalue Problems},
journal = {CoRR},
volume = {abs/2206.00626},
year = {2022}
}
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author = {Max von Danwitz and
Igor Voulis and
Norbert Hosters and
Marek Behr},
title = {Time-Continuous and Time-Discontinuous Space-Time Finite Elements
for Advection-Diffusion Problems},
journal = {CoRR},
volume = {abs/2206.01423},
year = {2022}
}
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author = {Santiago Badia and
Hridya Dilip and
Francesc Verdugo},
title = {Space-time aggregated finite element methods for time-dependent problems
on moving domains},
journal = {CoRR},
volume = {abs/2206.03626},
year = {2022}
}
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author = {Jiayu Han and
Zhimin Zhang},
title = {H(curl\({}^{\mbox{2}}\)) conforming element for Maxwell's transmission
eigenvalue problem using fixed-point approach},
journal = {CoRR},
volume = {abs/2206.03816},
year = {2022}
}
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author = {Ulrich Langer and
Olaf Steinbach and
Huidong Yang},
title = {Robust space-time finite element error estimates for parabolic distributed
optimal control problems with energy regularization},
journal = {CoRR},
volume = {abs/2206.06455},
year = {2022}
}
@article{DBLP:journals/corr/abs-2206-08493,
author = {Qian Zhang and
Min Zhang and
Zhimin Zhang},
title = {Nonconforming finite elements for the Brinkman and -curl{\(\Delta\)}curl
problems on cubical meshes},
journal = {CoRR},
volume = {abs/2206.08493},
year = {2022}
}
@article{DBLP:journals/corr/abs-2206-10864,
author = {Xuehai Huang and
Chao Zhang},
title = {Robust mixed finite element methods for a quad-curl singular perturbation
problem},
journal = {CoRR},
volume = {abs/2206.10864},
year = {2022}
}
@article{DBLP:journals/corr/abs-2206-12056,
author = {Baiju Zhang and
Zhimin Zhang},
title = {A new family of nonconforming elements with H(curl)-continuity for
the three-dimensional quad-curl problem},
journal = {CoRR},
volume = {abs/2206.12056},
year = {2022}
}
@article{DBLP:journals/corr/abs-2206-12107,
author = {Baiju Zhang and
Zhimin Zhang},
title = {Nonconforming finite element approximations and the analysis of Nitsche's
method for a singularly perturbed quad-curl problem in three dimensions},
journal = {CoRR},
volume = {abs/2206.12107},
year = {2022}
}
@article{DBLP:journals/corr/abs-2206-12880,
author = {Guangwei Gao and
Shuonan Wu},
title = {A C\({}^{\mbox{0}}\) finite element approximation of planar oblique
derivative problems in non-divergence form},
journal = {CoRR},
volume = {abs/2206.12880},
year = {2022}
}
@article{DBLP:journals/corr/abs-2206-13103,
author = {Shahed Rezaei and
Ali Harandi and
Ahmad Moeineddin and
Bai{-}Xiang Xu and
Stefanie Reese},
title = {A mixed formulation for physics-informed neural networks as a potential
solver for engineering problems in heterogeneous domains: comparison
with finite element method},
journal = {CoRR},
volume = {abs/2206.13103},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-02536,
author = {Samuel Cognolato and
Alberto Testolin},
title = {Transformers discover an elementary calculation system exploiting
local attention and grid-like problem representation},
journal = {CoRR},
volume = {abs/2207.02536},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-03838,
author = {Hengguang Li and
Charuka D. Wickramasinghe and
Peimeng Yin},
title = {A C\({}^{\mbox{0}}\) finite element method for the biharmonic problem
with Dirichlet boundary conditions in a polygonal domain},
journal = {CoRR},
volume = {abs/2207.03838},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-04664,
author = {Ulrich Langer and
Richard L{\"{o}}scher and
Olaf Steinbach and
Huidong Yang},
title = {Robust finite element discretization and solvers for distributed elliptic
optimal control problems},
journal = {CoRR},
volume = {abs/2207.04664},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-05266,
author = {Fanyi Yang and
Xiaoping Xie},
title = {An unfitted finite element method with direct extension stabilization
for time-harmonic Maxwell problems on smooth domains},
journal = {CoRR},
volume = {abs/2207.05266},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-10139,
author = {Divay Garg and
Kamana Porwal},
title = {Mixed finite element method for a second order Dirichlet boundary
control problem},
journal = {CoRR},
volume = {abs/2207.10139},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-12003,
author = {Shuo Zhang},
title = {A primal finite element scheme of the H(d){\(\cap\)}H({\(\delta\)})
elliptic problem},
journal = {CoRR},
volume = {abs/2207.12003},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-12621,
author = {Felipe Lepe and
David Mora and
Gonzalo Rivera and
Iv{\'{a}}n Vel{\'{a}}squez},
title = {A posteriori virtual element method for the acoustic vibration problem},
journal = {CoRR},
volume = {abs/2207.12621},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-12732,
author = {Ionut Danaila and
Francky Luddens and
C{\'{e}}cile Legrand},
title = {On the convergence of a low order Lagrange finite element approach
for natural convection problems},
journal = {CoRR},
volume = {abs/2207.12732},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-13778,
author = {Tom{\'{a}}s Chac{\'{o}}n Rebollo and
Daniel Franco Coronil},
title = {Least-squares driven stabilised finite element solution of advection-dominated
flow problems},
journal = {CoRR},
volume = {abs/2207.13778},
year = {2022}
}
@article{DBLP:journals/corr/abs-2207-14668,
author = {Pasquale Claudio Africa},
title = {lifex: a flexible, high performance library for the numerical solution
of complex finite element problems},
journal = {CoRR},
volume = {abs/2207.14668},
year = {2022}
}
@article{DBLP:journals/corr/abs-2208-00575,
author = {Shuo Zhang},
title = {A primal finite element scheme of the Hodge Laplace problem},
journal = {CoRR},
volume = {abs/2208.00575},
year = {2022}
}
@article{DBLP:journals/corr/abs-2208-04785,
author = {Shanshan Gu and
Shimin Chai and
Chenguang Zhou},
title = {Weak Galerkin finite element method for linear poroelasticity problems},
journal = {CoRR},
volume = {abs/2208.04785},
year = {2022}
}
@article{DBLP:journals/corr/abs-2208-09879,
author = {Thomas F{\"{u}}hrer and
Michael Karkulik},
title = {Space-time finite element methods for parabolic distributed optimal
control problems},
journal = {CoRR},
volume = {abs/2208.09879},
year = {2022}
}
@article{DBLP:journals/corr/abs-2209-01526,
author = {Jiansong Zhang and
Yun Yu and
Jiang Zhu and
Rong Qin and
Yue Yu and
Maosheng Jiang},
title = {Hybrid mixed discontinuous Galerkin finite element method for incompressible
miscible displacement problem},
journal = {CoRR},
volume = {abs/2209.01526},
year = {2022}
}
@article{DBLP:journals/corr/abs-2209-01528,
author = {Jiansong Zhang and
Yun Yu and
Jiang Zhu and
Yue Yu and
Rong Qin},
title = {Hybrid mixed discontinuous Galerkin finite element method for incompressible
wormhole propagation problem},
journal = {CoRR},
volume = {abs/2209.01528},
year = {2022}
}
@article{DBLP:journals/corr/abs-2209-03601,
author = {Maximilian Bernkopf and
Th{\'{e}}ophile Chaumont{-}Frelet and
Jens Markus Melenk},
title = {Wavenumber-explicit stability and convergence analysis of hp finite
element discretizations of Helmholtz problems in piecewise smooth
media},
journal = {CoRR},
volume = {abs/2209.03601},
year = {2022}
}
@article{DBLP:journals/corr/abs-2209-04906,
author = {Rohit Khandelwal and
Kamana Porwal and
Tanvi Wadhawan},
title = {Adaptive quadratic finite element method for the unilateral contact
problem},
journal = {CoRR},
volume = {abs/2209.04906},
year = {2022}
}
@article{DBLP:journals/corr/abs-2209-08525,
author = {Bal{\'{a}}zs T{\'{o}}th and
Zsombor Moln{\'{a}}r and
R{\'{o}}bert Kov{\'{a}}cs},
title = {Two-field mixed hp-finite elements for time-dependent problems in
the refined theories of thermodynamics},
journal = {CoRR},
volume = {abs/2209.08525},
year = {2022}
}
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author = {Ulrich Langer and
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title = {Enriched finite element approach for modeling discontinuous electric
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title = {A P\({}_{\mbox{1}}\) Finite Element Method for a Distributed Elliptic
Optimal Control Problem with a General State Equation and Pointwise
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title = {SUPG-Stabilized Virtual Element Method for Optimal Control Problem
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author = {Bo Yu and
Geyong Cao and
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title = {An {\(\alpha\)}-Robust Semidiscrete Finite Element Method for a Fokker-Planck
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journal = {Numerische Mathematik},
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title = {An Adaptive Finite Element DtN Method for the Elastic Wave Scattering
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title = {Error Analysis of Finite Element Approximations of Diffusion Coefficient
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title = {A p-adaptive, implicit-explicit mixed finite element method for reaction-diffusion
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volume = {abs/2101.00681},
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title = {An adaptive finite element DtN method for the elastic wave scattering
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journal = {CoRR},
volume = {abs/2101.05835},
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title = {An unfitted finite element method for two-phase Stokes problems with
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journal = {CoRR},
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volume = {abs/2102.01652},
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volume = {abs/2102.02700},
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title = {A weak Galerkin-mixed finite element method for the Stokes-Darcy problem},
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Carlo Lovadina and
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title = {Hybridization of the Virtual Element Method for linear elasticity
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volume = {abs/2103.01164},
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volume = {abs/2103.01688},
year = {2021}
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author = {Anton Arnold and
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Ilaria Perugia and
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title = {An adaptive finite element method for high-frequency scattering problems
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Long Chen and
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title = {A Virtual Finite Element Method for Two Dimensional Maxwell Interface
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volume = {abs/2103.04582},
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author = {Lixiu Wang and
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title = {H(curl\({}^{\mbox{2}}\))-conforming quadrilateral spectral element
method for quad-curl problems},
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author = {Oliver Sander and
Ruth Sch{\"{o}}bel and
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volume = {abs/2103.09584},
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@article{DBLP:journals/corr/abs-2103-09663,
author = {Shukai Ya and
Sascha Eisentr{\"{a}}ger and
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title = {An open-source {ABAQUS} implementation of the scaled boundary finite
element method to study interfacial problems using polyhedral meshes},
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volume = {abs/2103.09663},
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author = {Bhupen Deka and
Naresh Kumar},
title = {A Systematic Study on Weak Galerkin Finite Element Method for Second
Order Parabolic Problems},
journal = {CoRR},
volume = {abs/2103.13669},
year = {2021}
}
@article{DBLP:journals/corr/abs-2103-13835,
author = {Ulrich Langer and
Andreas Schafelner},
title = {Space-time hexahedral finite element methods for parabolic evolution
problems},
journal = {CoRR},
volume = {abs/2103.13835},
year = {2021}
}
@article{DBLP:journals/corr/abs-2104-01685,
author = {Junshan Lin},
title = {An adaptive boundary element method for the transmission problem with
hyperbolic metamaterials},
journal = {CoRR},
volume = {abs/2104.01685},
year = {2021}
}
@article{DBLP:journals/corr/abs-2104-02352,
author = {Zhiming Chen and
Wenlong Zhang and
Jun Zou},
title = {Stochastic convergence of regularized solutions and their finite element
approximations to inverse source problems},
journal = {CoRR},
volume = {abs/2104.02352},
year = {2021}
}
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author = {Erik Burman},
title = {Weighted error estimates for transient transport problems discretized
using continuous finite elements with interior penalty stabilization
on the gradient jumps},
journal = {CoRR},
volume = {abs/2104.06880},
year = {2021}
}
@article{DBLP:journals/corr/abs-2104-08260,
author = {Dmitrii Legatiuk and
Daniel Weisz{-}Patrault},
title = {Coupling of complex function theory and finite element method for
crack propagation through energetic formulation: conformal mapping
approach and reduction to a Riemann-Hilbert problem},
journal = {CoRR},
volume = {abs/2104.08260},
year = {2021}
}
@article{DBLP:journals/corr/abs-2104-14450,
author = {Ellya L. Kawecki and
Timo Sprekeler},
title = {Discontinuous Galerkin and C\({}^{\mbox{0}}\)-IP finite element approximation
of periodic Hamilton-Jacobi-Bellman-Isaacs problems with application
to numerical homogenization},
journal = {CoRR},
volume = {abs/2104.14450},
year = {2021}
}
@article{DBLP:journals/corr/abs-2105-03227,
author = {Haifeng Ji},
title = {An immersed Raviart-Thomas mixed finite element method for elliptic
interface problems on unfitted meshes},
journal = {CoRR},
volume = {abs/2105.03227},
year = {2021}
}
@article{DBLP:journals/corr/abs-2105-05413,
author = {Yiran Wang and
Eric T. Chung and
Shubin Fu},
title = {A local-global generalized multiscale finite element method for highly
heterogeneous stochastic groundwater flow problems},
journal = {CoRR},
volume = {abs/2105.05413},
year = {2021}
}
@article{DBLP:journals/corr/abs-2105-05841,
author = {Marcelo Forets and
Daniel Freire Caporale and
Jorge M. P{\'{e}}rez Zerpa},
title = {Combining Set Propagation with Finite Element Methods for Time Integration
in Transient Solid Mechanics Problems},
journal = {CoRR},
volume = {abs/2105.05841},
year = {2021}
}
@article{DBLP:journals/corr/abs-2105-07289,
author = {Patrick E. Farrell and
Abdalaziz Hamdan and
Scott P. MacLachlan},
title = {A new mixed finite-element method for the biharmonic problem},
journal = {CoRR},
volume = {abs/2105.07289},
year = {2021}
}
@article{DBLP:journals/corr/abs-2105-09300,
author = {Azzedine Abdedou and
Azzeddine Soula{\"{\i}}mani},
title = {A non-intrusive reduced-order modelling for uncertainty propagation
of time-dependent problems using a B-splines B{\'{e}}zier elements-based
method and Proper Orthogonal Decomposition: application to dam-break
flows},
journal = {CoRR},
volume = {abs/2105.09300},
year = {2021}
}
@article{DBLP:journals/corr/abs-2105-10409,
author = {Haoran Liu and
Michael Neilan and
M. Baris Otus},
title = {A divergence-free finite element method for the Stokes problem with
boundary correction},
journal = {CoRR},
volume = {abs/2105.10409},
year = {2021}
}
@article{DBLP:journals/corr/abs-2105-11777,
author = {Taiga Nakano and
Xuefeng Liu},
title = {A posteriori local error estimation for finite element solutions of
boundary value problems},
journal = {CoRR},
volume = {abs/2105.11777},
year = {2021}
}
@article{DBLP:journals/corr/abs-2106-06837,
author = {Anna Kh. Balci and
Christoph Ortner and
Johannes Storn},
title = {Crouzeix-Raviart finite element method for non-autonomous variational
problems with Lavrentiev gap},
journal = {CoRR},
volume = {abs/2106.06837},
year = {2021}
}
@article{DBLP:journals/corr/abs-2106-07357,
author = {Devika Shylaja and
M. T. Nair},
title = {Conforming and Nonconforming Finite Element Methods for Biharmonic
Inverse Source Problem},
journal = {CoRR},
volume = {abs/2106.07357},
year = {2021}
}
@article{DBLP:journals/corr/abs-2106-12165,
author = {Tom Gustafsson and
Juha H. Videman},
title = {Stabilized finite elements for Tresca friction problem},
journal = {CoRR},
volume = {abs/2106.12165},
year = {2021}
}
@article{DBLP:journals/corr/abs-2106-12283,
author = {Yang Yang and
Zongliang Zhang and
Yelin Feng and
Yuzhen Yu and
Kun Wang and
Lihui Liang},
title = {A polygonal scaled boundary finite element method for solving heat
conduction problems},
journal = {CoRR},
volume = {abs/2106.12283},
year = {2021}
}
@article{DBLP:journals/corr/abs-2106-15071,
author = {Bowen Li and
Jun Zou},
title = {An adaptive edge element method and its convergence for an electromagnetic
constrained optimal control problem},
journal = {CoRR},
volume = {abs/2106.15071},
year = {2021}
}
@article{DBLP:journals/corr/abs-2106-16107,
author = {Hardik Kothari and
Rolf Krause},
title = {A Generalized Multigrid Method for Solving Contact Problems in Lagrange
Multiplier based Unfitted Finite Element Method},
journal = {CoRR},
volume = {abs/2106.16107},
year = {2021}
}
@article{DBLP:journals/corr/abs-2106-16148,
author = {Sergio G{\'{o}}mez},
title = {High order interpolatory Serendipity Virtual Element Method for semilinear
parabolic problems},
journal = {CoRR},
volume = {abs/2106.16148},
year = {2021}
}
@article{DBLP:journals/corr/abs-2107-01290,
author = {Surendra Nepal and
Yosief Wondmagegne and
Adrian Muntean},
title = {Error estimates for semi-discrete finite element approximations for
a moving boundary problem capturing the penetration of diffusants
into rubber},
journal = {CoRR},
volume = {abs/2107.01290},
year = {2021}
}
@article{DBLP:journals/corr/abs-2107-04794,
author = {Luca Desiderio and
Silvia Falletta and
Matteo Ferrari and
Letizia Scuderi},
title = {On the coupling of the Curved Virtual Element Method with the one-equation
Boundary Element Method for 2D exterior Helmholtz problems},
journal = {CoRR},
volume = {abs/2107.04794},
year = {2021}
}
@article{DBLP:journals/corr/abs-2107-05613,
author = {Delyan Z. Kalchev and
Panayot S. Vassilevski and
Umberto Villa},
title = {Parallel Element-based Algebraic Multigrid for H(curl) and H(div)
Problems Using the ParELAG Library},
journal = {CoRR},
volume = {abs/2107.05613},
year = {2021}
}
@article{DBLP:journals/corr/abs-2107-05810,
author = {Amit Chakrabarti and
Manuel Stoeckl},
title = {The Element Extraction Problem and the Cost of Determinism and Limited
Adaptivity in Linear Queries},
journal = {CoRR},
volume = {abs/2107.05810},
year = {2021}
}
@article{DBLP:journals/corr/abs-2107-06553,
author = {Hans{-}G{\"{o}}rg Roos and
Despo Savvidou and
Christos Xenophontos},
title = {On the finite element approximation of fourth order singularly perturbed
eigenvalue problems},
journal = {CoRR},
volume = {abs/2107.06553},
year = {2021}
}
@article{DBLP:journals/corr/abs-2107-09248,
author = {Davood Damircheli},
title = {Finite Element Method for Solution of Credit Rating Migration Problem
Model},
journal = {CoRR},
volume = {abs/2107.09248},
year = {2021}
}
@article{DBLP:journals/corr/abs-2107-12683,
author = {Elie Bretin and
Pierre Millien and
Laurent Seppecher},
title = {Stability for finite element discretization of some elliptic inverse
parameter problems from internal data - application to elastography},
journal = {CoRR},
volume = {abs/2107.12683},
year = {2021}
}
@article{DBLP:journals/corr/abs-2108-00619,
author = {Shuhao Cao and
Long Chen and
Ruchi Guo and
Frank Lin},
title = {Immersed Virtual Element Methods for Elliptic Interface Problems},
journal = {CoRR},
volume = {abs/2108.00619},
year = {2021}
}
@article{DBLP:journals/corr/abs-2108-03776,
author = {Haifeng Ji and
Feng Wang and
Jinru Chen and
Zhilin Li},
title = {An immersed CR-P\({}_{\mbox{0}}\) element for Stokes interface problems
and the optimal convergence analysis},
journal = {CoRR},
volume = {abs/2108.03776},
year = {2021}
}
@article{DBLP:journals/corr/abs-2108-08434,
author = {Yang Yang and
Zongliang Zhang and
Yelin Feng},
title = {A novel method in solving seepage problems implementation in Abaqus
based on the polygonal scaled boundary finite element method},
journal = {CoRR},
volume = {abs/2108.08434},
year = {2021}
}
@article{DBLP:journals/corr/abs-2108-09967,
author = {Do{-}Young Kwak and
Hyeokjoo Park},
title = {A formal construction of a divergence-free basis in the nonconforming
virtual element method for the Stokes problem},
journal = {CoRR},
volume = {abs/2108.09967},
year = {2021}
}
@article{DBLP:journals/corr/abs-2108-09971,
author = {Do{-}Young Kwak and
Hyeokjoo Park},
title = {Lowest-order virtual element methods for linear elasticity problems},
journal = {CoRR},
volume = {abs/2108.09971},
year = {2021}
}
@article{DBLP:journals/corr/abs-2108-10522,
author = {Wenjia Liu and
Shuo Zhang},
title = {A lowest-degree strictly conservative finite element scheme for incompressible
Stokes problem on general triangulations},
journal = {CoRR},
volume = {abs/2108.10522},
year = {2021}
}
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author = {Lili Li and
Mianfu She and
Yuanling Niu},
title = {Fractional Crank-Nicolson-Galerkin finite element methods for nonlinear
time fractional parabolic problems with time delay},
journal = {CoRR},
volume = {abs/2109.03994},
year = {2021}
}
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author = {Pascal Heid and
Endre S{\"{u}}li},
title = {Adaptive iterative linearised finite element methods for implicitly
constituted incompressible fluid flow problems and its application
to Bingham fluids},
journal = {CoRR},
volume = {abs/2109.05991},
year = {2021}
}
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author = {Erik Burman and
Ali Feizmohammadi and
Arnaud M{\"{u}}nch and
Lauri Oksanen},
title = {Spacetime finite element methods for control problems subject to the
wave equation},
journal = {CoRR},
volume = {abs/2109.07890},
year = {2021}
}
@article{DBLP:journals/corr/abs-2110-00554,
author = {Troy Shilt and
Patrick O'Hara and
Jack J. McNamara},
title = {High-resolution solutions of nonlinear, advection-dominated problems
using a generalized finite element method},
journal = {CoRR},
volume = {abs/2110.00554},
year = {2021}
}
@article{DBLP:journals/corr/abs-2110-01613,
author = {Thi{-}Thao{-}Phuong Hoang},
title = {Optimized Ventcel-Schwarz waveform relaxation and mixed hybrid finite
element method for transport problems},
journal = {CoRR},
volume = {abs/2110.01613},
year = {2021}
}
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author = {Denis Spiridonov and
Maria V. Vasilyeva and
Min Wang and
Eric T. Chung},
title = {Mixed Generalized Multiscale Finite Element Method for Flow Problem
in Thin Domains},
journal = {CoRR},
volume = {abs/2110.05709},
year = {2021}
}
@article{DBLP:journals/corr/abs-2110-14462,
author = {Andrea Cioncolini and
Daniele Boffi},
title = {Superconvergence of the {MINI} mixed finite element discretization
of the Stokes problem: An experimental study in 3D},
journal = {CoRR},
volume = {abs/2110.14462},
year = {2021}
}
@article{DBLP:journals/corr/abs-2110-15029,
author = {Luca Heltai and
Wenyu Lei},
title = {Adaptive finite element approximations for elliptic problems using
regularized forcing data},
journal = {CoRR},
volume = {abs/2110.15029},
year = {2021}
}
@article{DBLP:journals/corr/abs-2110-15458,
author = {Sattar Vakili and
Jonathan Scarlett and
Tara Javidi},
title = {Open Problem: Tight Online Confidence Intervals for {RKHS} Elements},
journal = {CoRR},
volume = {abs/2110.15458},
year = {2021}
}
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author = {Thirupathi Gudi and
Ramesh Ch. Sau},
title = {A two level finite element method for Stokes constrained Dirichlet
boundary control problem},
journal = {CoRR},
volume = {abs/2110.15584},
year = {2021}
}
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author = {Asha K. Dond and
Thirupathi Gudi and
Ramesh Ch. Sau},
title = {An error analysis of discontinuous finite element methods for the
optimal control problems governed by Stokes equation},
journal = {CoRR},
volume = {abs/2110.15603},
year = {2021}
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author = {Susanne C. Brenner and
Jos{\'{e}} C. Garay and
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title = {Multiscale Finite Element Methods for an Elliptic Optimal Control
Problem with Rough Coefficients},
journal = {CoRR},
volume = {abs/2110.15885},
year = {2021}
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author = {Thirupathi Gudi and
Gouranga Mallik and
Ramesh Ch. Sau},
title = {Finite element analysis of the Dirichlet boundary control problem
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journal = {CoRR},
volume = {abs/2111.02039},
year = {2021}
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author = {Nirav Vasant Shah and
Michele Girfoglio and
Peregrina Quintela and
Gianluigi Rozza and
Alejandro Lengomin and
Francesco Ballarin and
Patricia Barral},
title = {Finite element based model order reduction for parametrized one-way
coupled steady state linear thermomechanical problems},
journal = {CoRR},
volume = {abs/2111.08534},
year = {2021}
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author = {Konstantinos Agathos and
Tim J. Dodwel and
Eleni N. Chatzi and
St{\'{e}}phane P. A. Bordas},
title = {An adapted deflated conjugate gradient solver for robust extended/generalised
finite element solutions of large scale, 3D crack propagation problems},
journal = {CoRR},
volume = {abs/2111.09294},
year = {2021}
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@article{DBLP:journals/corr/abs-2111-09922,
author = {Riccardo Puppi},
title = {A cut finite element method for the Darcy problem},
journal = {CoRR},
volume = {abs/2111.09922},
year = {2021}
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author = {Franco Dassi and
Alessio Fumagalli and
Anna Scotti and
Giuseppe Vacca},
title = {Bend 3d Mixed Virtual Element Method for Elliptic Problems},
journal = {CoRR},
volume = {abs/2111.10644},
year = {2021}
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title = {A structure preserving front tracking finite element method for the
Mullins-Sekerka problem},
journal = {CoRR},
volume = {abs/2111.15418},
year = {2021}
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Davide Pradovera and
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title = {Rational-based model order reduction of Helmholtz frequency response
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journal = {CoRR},
volume = {abs/2112.04302},
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Pratibha Shakya},
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journal = {CoRR},
volume = {abs/2112.05389},
year = {2021}
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volume = {abs/2112.06432},
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volume = {abs/2112.08693},
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Xuqing Zhang and
Yidu Yang},
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journal = {CoRR},
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volume = {abs/2112.12171},
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Jin'ge Pang and
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title = {A high-order unfitted finite element method for moving interface problems},
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school = {Grenoble Alpes University, France},
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