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ORCIDLong Chen 0002
Person information
- affiliation: University of California at Irvine, Department of Mathematics, CA, USA
- affiliation (PhD 2005): Pennsylvania State University, Department of Mathematics, University Park, PA, USA
Other persons with the same name
- Long Chen — disambiguation page
- Long Chen 0001
![[0000-0003-0184-5446]](https://dblp.uni-trier.de/img/orcid-mark.12x12.png "0000-0003-0184-5446")
— University of Macau, Department of Computer and Information Science, China (and 1 more) - Long Chen 0003 — Jiangsu University, Automotive Engineering Research Institution, Zhenjiang, China
- Long Chen 0004 — University of Texas at Austin, TX, USA
- Long Chen 0005 — Chinese Academy of Sciences, Institute of Automation, State Key Laboratory of Multi-modal Artificial Intelligence, Beijing, China (and 2 more)
- Long Chen 0006 — Guangdong University of Technology, School of Computer Science and Technology, Guangzhou, China
- Long Chen 0007 — Xi'an University of Posts and Telecommunications, School of communications and information engineering, China (and 1 more)
- Long Chen 0008 — University of Glasgow, School of Computing Science, UK (and 1 more)
- Long Chen 0009 — Peking University, Institute of Microelectronics, Beijing, China
- Long Chen 0010 — City University of Hong Kong, Department of Electronic Engineering, Hong Kong
- Long Chen 0011 — University of Nebraska-Lincoln, Department of Biological Systems Engineering, NE, USA (and 1 more)
- Long Chen 0012 — Dalian University of Technology, School of Control Science and Engineering, China
- Long Chen 0013 — Acacia Communications, Holdmdel, NJ, USA
- Long Chen 0014 — RWTH Aachen University, Institute of Imaging and Computer Vision, Aachen, Germany
- Long Chen 0015 — Bournemouth University, Poole, UK
- Long Chen 0016 — Hong Kong University of Science and Technology, Hong Kong (and 2 more)
- Long Chen 0017 — Tianjin University, College of Precision Instruments and Optoelectronics Engineering, Tianjin, China
- Long Chen 0018 — New Jersey Institute of Technology, Newark, NJ, USA (and 2 more)
- Long Chen 0019 — University of Leicester, UK (and 1 more)
- Long Chen 0020 — University of Delaware, Department of Electrical and Computer Engineering, Newark, DE, USA (and 1 more)
- Long Chen 0021 — Southeast University, School of Computer Science and Engineering, Nanjing, China
- Long Chen 0022 — Chongqing University of Posts and Telecommunications, Institute of Computer Forensics, Chongqing, China
- Long Chen 0023 — University of Paris-Sud, Orsay, France
- Long Chen 0024 — Tsinghua University, Computer Science and Technology Department, Beijing, China
- Long Chen 0025 — Simon Fraser University, School of Computing Science, Burnaby, BC, Canada (and 1 more)
- Long Chen 0026 — Huazhong University of Science and Technology, School of Artificial Intelligence and Automation, Wuhan, China
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2020 – today
- 2024
[i21]Shuhao Cao, Long Chen, Seulip Lee:
Edge-averaged virtual element methods for convection-diffusion and convection-dominated problems. CoRR abs/2402.13347 (2024)- 2023
- [j45]Long Chen, Xuehai Huang:
Finite element de Rham and Stokes complexes in three dimensions. Math. Comput. 93(345): 55-110 (2023) - [j44]Long Chen, Ruchi Guo, Jun Zou:
A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems. SIAM J. Sci. Comput. 45(6): 3121- (2023) - [c2]Ruchi Guo, Shuhao Cao, Long Chen:
Transformer Meets Boundary Value Inverse Problems. ICLR 2023 - [i20]Long Chen, Xuehai Huang:
A Mixed Finite Element Method for the Biharmonic Equation with Hybridization. CoRR abs/2305.11356 (2023) - [i19]Chunyu Chen, Long Chen, Xuehai Huang, Huayi Wei:
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements. CoRR abs/2309.13843 (2023) - 2022
- [j43]Dongwu Wang, Bin Zheng, Long Chen, Guang Lin, Jinchao Xu:
Block triangular preconditioning for stochastic Galerkin method. J. Comput. Appl. Math. 412: 114298 (2022) - [j42]Shuhao Cao, Long Chen, Xuehai Huang:
Error Analysis of a Decoupled Finite Element Method for Quad-Curl Problems. J. Sci. Comput. 90(1): 29 (2022) - [j41]Shuhao Cao, Long Chen, Ruchi Guo, Frank Lin:
Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions. J. Sci. Comput. 93(1): 12 (2022) - [j40]Long Chen, Xuehai Huang:
Finite elements for div div conforming symmetric tensors in three dimensions. Math. Comput. 91(335): 1107-1142 (2022) - [j39]Long Chen, Xuehai Huang:
A finite element elasticity complex in three dimensions. Math. Comput. 91(337): 2095-2127 (2022) - [j38]Hao Luo, Long Chen:
From differential equation solvers to accelerated first-order methods for convex optimization. Math. Program. 195(1): 735-781 (2022) - [j37]Long Chen, Xuehai Huang:
Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension. SIAM J. Numer. Anal. 60(4): 1932-1961 (2022) - [i18]Shuhao Cao, Long Chen, Ruchi Guo:
Immersed Virtual Element Methods for Maxwell Interface Problems in Three Dimensions. CoRR abs/2202.09987 (2022) - [i17]Long Chen, Ruchi Guo, Jun Zou:
A family of immersed finite element spaces and applications to three dimensional H(curl) interface problems. CoRR abs/2205.14127 (2022) - [i16]Long Chen, Xuehai Huang:
Finite Element Complexes in Two Dimensions. CoRR abs/2206.00851 (2022) - [i15]Long Chen, Xuehai Huang:
Finite Element de Rham and Stokes Complexes in Three Dimensions. CoRR abs/2206.09525 (2022) - [i14]Ruchi Guo, Shuhao Cao, Long Chen:
Transformer Meets Boundary Value Inverse Problems. CoRR abs/2209.14977 (2022) - [i13]Long Chen, Xuehai Huang:
Complexes from Complexes: Finite Element Complexes in Three Dimensions. CoRR abs/2211.08656 (2022) - 2021
- [i12]Shuhao Cao, Long Chen, Xuehai Huang:
Error analysis of a decoupled finite element method for quad-curl problems. CoRR abs/2102.03396 (2021) - [i11]Shuhao Cao, Long Chen, Ruchi Guo:
A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh. CoRR abs/2103.04582 (2021) - [i10]Long Chen, Xuehai Huang:
A finite element elasticity complex in three dimensions. CoRR abs/2106.12786 (2021) - [i9]Long Chen, Xuehai Huang:
Finite elements for divdiv-conforming symmetric tensors in arbitrary dimension. CoRR abs/2106.13384 (2021) - [i8]Shuhao Cao, Long Chen, Ruchi Guo, Frank Lin:
Immersed Virtual Element Methods for Elliptic Interface Problems. CoRR abs/2108.00619 (2021) - [i7]Long Chen, Xuehai Huang:
Geometric decompositions of the simplicial lattice and smooth finite elements in arbitrary dimension. CoRR abs/2111.10712 (2021) - [i6]Long Chen, Xuehai Huang:
Geometric Decompositions of Div-Conforming Finite Element Tensors. CoRR abs/2112.14351 (2021) - 2020
- [j36]Long Chen, Xuehai Huang:
Nonconforming Virtual Element Method for 2mth Order Partial Differential Equations in ℝn. Math. Comput. 89(324): 1711-1744 (2020) - [j35]Long Chen, Xiaozhe Hu, Steven M. Wise:
Convergence analysis of the Fast Subspace Descent method for convex optimization problems. Math. Comput. 89(325): 2249-2282 (2020) - [i5]Long Chen, Xuehai Huang:
Finite elements for divdiv-conforming symmetric tensors. CoRR abs/2005.01271 (2020) - [i4]Long Chen, Xiaozhe Hu, Huiwen Wu:
Randomized Fast Subspace Descent Methods. CoRR abs/2006.06589 (2020) - [i3]Long Chen, Xuehai Huang:
Finite elements for divdiv-conforming symmetric tensors in three dimensions. CoRR abs/2007.12399 (2020) - [i2]Yingying Xie, Shuhao Cao, Long Chen, Liuqiang Zhong:
Convergence and optimality of an adaptive modified weak Galerkin finite element method. CoRR abs/2007.12853 (2020) - [i1]Long Chen, Xuehai Huang:
Discrete Hessian complexes in three dimensions. CoRR abs/2012.10914 (2020)
2010 – 2019
- 2019
- [j34]Long Chen, Feng Wang:
A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polytopal Meshes. J. Sci. Comput. 78(2): 864-886 (2019) - [j33]Shuhao Cao, Long Chen:
Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods. SIAM J. Numer. Anal. 57(3): 1058-1081 (2019) - 2018
- [j32]Jian Huang, Long Chen, Hongxing Rui:
Multigrid Methods for a Mixed Finite Element Method of the Darcy-Forchheimer Model. J. Sci. Comput. 74(1): 396-411 (2018) - [j31]Long Chen, Jun Hu, Xuehai Huang:
Multigrid Methods for Hellan-Herrmann-Johnson Mixed Method of Kirchhoff Plate Bending Problems. J. Sci. Comput. 76(2): 673-696 (2018) - [j30]Long Chen, Yongke Wu, Lin Zhong, Jie Zhou:
MultiGrid Preconditioners for Mixed Finite Element Methods of the Vector Laplacian. J. Sci. Comput. 77(1): 101-128 (2018) - [j29]Long Chen, Jun Hu, Xuehai Huang:
Fast auxiliary space preconditioners for linear elasticity in mixed form. Math. Comput. 87(312): 1601-1633 (2018) - [j28]Long Chen, Xuehai Huang:
Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions. SIAM J. Numer. Anal. 56(5): 2796-2825 (2018) - [j27]Shuhao Cao, Long Chen:
Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes. SIAM J. Numer. Anal. 56(5): 2913-2939 (2018) - 2017
- [j26]Long Chen, Jun Hu, Xuehai Huang:
Stabilized Mixed Finite Element Methods for Linear Elasticity on Simplicial Grids inℝn. Comput. Methods Appl. Math. 17(1): 17-31 (2017) - [j25]Long Chen, Huayi Wei, Min Wen:
An interface-fitted mesh generator and virtual element methods for elliptic interface problems. J. Comput. Phys. 334: 327-348 (2017) - 2016
- [j24]Wansheng Wang, Long Chen, Jie Zhou:
Postprocessing Mixed Finite Element Methods For Solving Cahn-Hilliard Equation: Methods and Error Analysis. J. Sci. Comput. 67(2): 724-746 (2016) - [j23]Bin Zheng, Luoping Chen, Xiaozhe Hu, Long Chen, Ricardo H. Nochetto, Jinchao Xu:
Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems. J. Sci. Comput. 69(1): 201-226 (2016) - [j22]Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado:
Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Math. Comput. 85(302): 2583-2607 (2016) - 2015
- [j21]Long Chen, Junping Wang, Yanqiu Wang, Xiu Ye:
An auxiliary space multigrid preconditioner for the weak Galerkin method. Comput. Math. Appl. 70(4): 330-344 (2015) - [j20]Long Chen:
Multigrid methods for saddle point systems using constrained smoothers. Comput. Math. Appl. 70(12): 2854-2866 (2015) - [j19]Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado:
A PDE approach to fractional diffusion: A posteriori error analysis. J. Comput. Phys. 293: 339-358 (2015) - [j18]James C. Hateley, Huayi Wei, Long Chen:
Fast Methods for Computing Centroidal Voronoi Tessellations. J. Sci. Comput. 63(1): 185-212 (2015) - [j17]Long Chen, Ming Wang, Lin Zhong:
Convergence Analysis of Triangular MAC Schemes for Two Dimensional Stokes Equations. J. Sci. Comput. 63(3): 716-744 (2015) - 2014
- [j16]Long Chen:
A simple construction of a Fortin operator for the two dimensional Taylor-Hood element. Comput. Math. Appl. 68(10): 1368-1373 (2014) - [j15]Long Chen, Junping Wang, Xiu Ye:
A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems. J. Sci. Comput. 59(2): 496-511 (2014) - [j14]Huayi Wei, Long Chen, Yunqing Huang, Bin Zheng:
Adaptive Mesh Refinement and Superconvergence for Two-Dimensional Interface Problems. SIAM J. Sci. Comput. 36(4) (2014) - 2013
- [j13]Ming Wang, Long Chen:
Multigrid Methods for the Stokes Equations using Distributive Gauss-Seidel Relaxations based on the Least Squares Commutator. J. Sci. Comput. 56(2): 409-431 (2013) - [p1]Constantin Bacuta, Long Chen, Jinchao Xu:
Equidistribution and Optimal Approximation Class. Domain Decomposition Methods in Science and Engineering XX 2013: 3-14 - 2012
- [j12]Long Chen, Michael J. Holst, Jinchao Xu, Yunrong Zhu:
Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids. Comput. Vis. Sci. 15(5): 271-289 (2012) - [j11]Liuqiang Zhong, Long Chen, Shi Shu, Gabriel Wittum, Jinchao Xu:
Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Math. Comput. 81(278): 623-642 (2012) - [j10]Long Chen, Ricardo H. Nochetto, Jinchao Xu:
Optimal multilevel methods for graded bisection grids. Numerische Mathematik 120(1): 1-34 (2012) - 2010
- [j9]Pengtao Sun, Long Chen, Jinchao Xu:
Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated Problems. J. Sci. Comput. 43(1): 24-43 (2010) - [j8]Liuqiang Zhong, Shi Shu, Long Chen, Jinchao Xu:
Convergence of adaptive edge finite element methods for H(curl)-elliptic problems. Numer. Linear Algebra Appl. 17(2-3): 415-432 (2010) - [j7]Long Chen:
A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations. SIAM J. Numer. Anal. 47(6): 4021-4043 (2010) - [j6]Huayi Wei, Long Chen, Yunqing Huang:
Superconvergence and Gradient Recovery of Linear Finite Elements for the Laplace-Beltrami Operator on General Surfaces. SIAM J. Numer. Anal. 48(5): 1920-1943 (2010)
2000 – 2009
- 2009
- [j5]Long Chen, Michael J. Holst, Jinchao Xu:
Convergence and optimality of adaptive mixed finite element methods. Math. Comput. 78(265): 35-53 (2009) - 2008
- [j4]Long Chen, Jinchao Xu:
Stability and accuracy of adapted finite element methods for singularly perturbed problems. Numerische Mathematik 109(2): 167-191 (2008) - 2007
- [j3]Long Chen, Pengtao Sun, Jinchao Xu:
Optimal anisotropic meshes for minimizing interpolation errors in Lp-norm. Math. Comput. 76(257): 179-204 (2007) - [j2]Long Chen, Michael J. Holst, Jinchao Xu:
The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation. SIAM J. Numer. Anal. 45(6): 2298-2320 (2007) - 2005
- [j1]Long Chen:
New analysis of the sphere covering problems and optimal polytope approximation of convex bodies. J. Approx. Theory 133(1): 134-145 (2005) - 2004
- [c1]Long Chen:
Mesh Smoothing Schemes Based on Optimal Delaunay Triangulations. IMR 2004: 109-120
Coauthor Index
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