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2020 – today
- 2024
[j80]Andrea Bonito, Claudio Canuto, Ricardo H. Nochetto
, Andreas Veeser:
Adaptive finite element methods. Acta Numer. 33: 163-485 (2024)- [j79]Lucas Bouck, Ricardo H. Nochetto, Vladimir Yushutin:
A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order. J. Nonlinear Sci. 34(1): 5 (2024) - [j78]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Quasi-linear Fractional-Order Operators in Lipschitz Domains. SIAM J. Math. Anal. 56(3): 4006-4039 (2024) - [i27]Andrea Bonito, Claudio Canuto, Ricardo H. Nochetto, Andreas Veeser:
Adaptive Finite Element Methods. CoRR abs/2402.07273 (2024) - [i26]Guillaume Bonnet, Andrea Cangiani, Ricardo H. Nochetto:
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients. CoRR abs/2404.08442 (2024) - [i25]Lucas Bouck, Ricardo H. Nochetto:
Projection-Free Method for the Full Frank-Oseen Model of Liquid Crystals. CoRR abs/2405.03145 (2024) - [i24]Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado, Céline Torres:
Monotone two-scale methods for a class of integrodifferential operators and applications. CoRR abs/2405.17652 (2024) - 2023
- [j77]Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu:
Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. Math. Comput. 92(344): 2439-2473 (2023) - [j76]L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani:
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property. SIAM J. Numer. Anal. 61(2): 457-494 (2023) - [j75]Lucas Bouck, Ricardo H. Nochetto, Shuo Yang:
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks. SIAM J. Numer. Anal. 61(6): 2887-2916 (2023) - [i23]Andrea Bonito, Ricardo H. Nochetto, Shuo Yang:
Γ-convergent LDG method for large bending deformations of bilayer plates. CoRR abs/2301.03151 (2023) - [i22]L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani:
Adaptive VEM for variable data: convergence and optimality. CoRR abs/2302.13672 (2023) - [i21]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Quasi-linear fractional-order operators in Lipschitz domains. CoRR abs/2305.17818 (2023) - 2022
- [j74]Andrea Bonito, Diane Guignard, Ricardo H. Nochetto, Shuo Yang:
LDG approximation of large deformations of prestrained plates. J. Comput. Phys. 448: 110719 (2022) - [j73]Wenbo Li, Ricardo H. Nochetto:
Two-scale methods for convex envelopes. Math. Comput. 91(333): 111-139 (2022) - [j72]Ricardo H. Nochetto, Michele Ruggeri, Shuo Yang:
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model. SIAM J. Numer. Anal. 60(2): 856-887 (2022) - [i20]Lucas Bouck, Ricardo H. Nochetto, Shuo Yang:
Convergent FEM for a membrane model of liquid crystal polymer networks. CoRR abs/2209.04754 (2022) - [i19]Lucas Bouck, Ricardo H. Nochetto, Shuo Yang:
Reduced Membrane Model for Liquid Crystal Polymer Networks: Asymptotics and Computation. CoRR abs/2210.02710 (2022) - [i18]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation. CoRR abs/2212.14070 (2022) - 2021
- [j71]Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto:
Local Energy Estimates for the Fractional Laplacian. SIAM J. Numer. Anal. 59(4): 1918-1947 (2021) - [i17]Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu:
Robust BPX preconditioner for the integral fractional Laplacian on bounded domains. CoRR abs/2103.12891 (2021) - [i16]Ricardo H. Nochetto, Michele Ruggeri, Shuo Yang:
Gamma-convergent projection-free finite element methods for nematic liquid crystals: The Ericksen model. CoRR abs/2103.13926 (2021) - [i15]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Finite element algorithms for nonlocal minimal graphs. CoRR abs/2105.06079 (2021) - [i14]Andrea Bonito, Diane Guignard, Ricardo H. Nochetto, Shuo Yang:
Numerical analysis of the LDG method for large deformations of prestrained plates. CoRR abs/2106.13877 (2021) - [i13]Juan Pablo Borthagaray, Ricardo H. Nochetto:
Constructive approximation on graded meshes for the integral fractional Laplacian. CoRR abs/2109.00451 (2021) - [i12]Juan Pablo Borthagaray, Ricardo H. Nochetto:
Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains. CoRR abs/2110.02801 (2021) - [i11]L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani:
Adaptive VEM: Stabilization-Free A Posteriori Error Analysis. CoRR abs/2111.07656 (2021) - 2020
- [j70]Andrea Bonito, Ricardo H. Nochetto, Dimitrios Ntogkas:
Discontinuous Galerkin approach to large bending deformation of a bilayer plate with isometry constraint. J. Comput. Phys. 423: 109785 (2020) - [j69]Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker:
A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q}\) -tensor model of nematic liquid crystals. Numerische Mathematik 145(4): 837-881 (2020) - [p1]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Linear and nonlinear fractional elliptic problems. 75 Years of Mathematics of Computation 2020 - [i10]Andrea Bonito, Ricardo H. Nochetto, Dimitrios Ntogkas:
Discontinuous Galerkin Approach to Large Bending Deformation of a Bilayer Plate with Isometry Constraint. CoRR abs/2002.00114 (2020) - [i9]Wenbo Li, Ricardo H. Nochetto:
Quantitative Stability and Error Estimates for Optimal Transport Plans. CoRR abs/2004.05299 (2020) - [i8]Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto:
Local energy estimates for the fractional Laplacian. CoRR abs/2005.03786 (2020) - [i7]L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca:
Equilibrium analysis of an immersed rigid leaflet by the virtual element method. CoRR abs/2007.09130 (2020) - [i6]Andrea Bonito, Diane Guignard, Ricardo H. Nochetto, Shuo Yang:
LDG approximation of large deformations of prestrained plates. CoRR abs/2011.01086 (2020)
2010 – 2019
- 2019
- [j68]Lehel Banjai, Jens Markus Melenk, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado, Christoph Schwab:
Tensor FEM for Spectral Fractional Diffusion. Found. Comput. Math. 19(4): 901-962 (2019) - [j67]Ricardo H. Nochetto, Dimitrios Ntogkas, Wujun Zhang:
Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution. Math. Comput. 88(316): 637-664 (2019) - [j66]Ricardo H. Nochetto, Wujun Zhang:
Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation. Numerische Mathematik 141(1): 253-288 (2019) - [j65]Ricardo H. Nochetto, Konstantina Trivisa, Franziska Weber:
On the Dynamics of Ferrofluids: Global Weak Solutions to the Rosensweig System and Rigorous Convergence to Equilibrium. SIAM J. Math. Anal. 51(6): 4245-4286 (2019) - [j64]Ricardo H. Nochetto, Dimitrios Ntogkas:
Convergent Two-Scale Filtered Scheme for the Monge-Ampère Equation. SIAM J. Sci. Comput. 41(2): B295-B319 (2019) - [i5]Andrea Bonito, Alan Demlow, Ricardo H. Nochetto:
Finite Element Methods for the Laplace-Beltrami Operator. CoRR abs/1906.02786 (2019) - [i4]Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto:
Linear and Nonlinear Fractional Diffusion. CoRR abs/1906.04230 (2019) - [i3]Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker:
A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$-tensor model of nematic liquid crystals. CoRR abs/1911.04347 (2019) - [i2]Andrea Bonito, Ricardo H. Nochetto, Dimitrios Ntogkas:
DG Approach to Large Bending Plate Deformations with Isometry Constraint. CoRR abs/1912.03812 (2019) - 2018
- [j63]Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado:
Numerical methods for fractional diffusion. Comput. Vis. Sci. 19(5-6): 19-46 (2018) - [j62]Ricardo H. Nochetto, Wujun Zhang:
Discrete ABP Estimate and Convergence Rates for Linear Elliptic Equations in Non-divergence Form. Found. Comput. Math. 18(3): 537-593 (2018) - [j61]Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang:
The Ericksen model of liquid crystals with colloidal and electric effects. J. Comput. Phys. 352: 568-601 (2018) - [j60]Sören Bartels, Andrea Bonito, Anastasia Hanifah Muliana, Ricardo H. Nochetto:
Modeling and simulation of thermally actuated bilayer plates. J. Comput. Phys. 354: 512-528 (2018) - [j59]Sören Bartels, Lars Diening, Ricardo H. Nochetto:
Unconditional Stability of Semi-Implicit Discretizations of Singular Flows. SIAM J. Numer. Anal. 56(3): 1896-1914 (2018) - [j58]Wenbo Li, Ricardo H. Nochetto:
Optimal Pointwise Error Estimates for Two-Scale Methods for the Monge-Ampère Equation. SIAM J. Numer. Anal. 56(3): 1915-1941 (2018) - 2017
- [j57]Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani:
On p-robust saturation for hp-AFEM. Comput. Math. Appl. 73(9): 2004-2022 (2017) - [j56]Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani:
Convergence and optimality of \({\mathbf {hp}}\) -AFEM. Numerische Mathematik 135(4): 1073-1119 (2017) - [j55]Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang:
A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation. SIAM J. Numer. Anal. 55(3): 1357-1386 (2017) - 2016
- [j54]Andrea Bonito, José Manuel Cascón, Khamron Mekchay, Pedro Morin, Ricardo H. Nochetto:
High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates. Found. Comput. Math. 16(6): 1473-1539 (2016) - [j53]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) - [j52]Bernardo Cockburn, Ricardo H. Nochetto, Wujun Zhang:
Contraction property of adaptive hybridizable discontinuous Galerkin methods. Math. Comput. 85(299): 1113-1141 (2016) - [j51]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) - [j50]Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado:
Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Numerische Mathematik 132(1): 85-130 (2016) - [j49]Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado:
A PDE Approach to Space-Time Fractional Parabolic Problems. SIAM J. Numer. Anal. 54(2): 848-873 (2016) - [j48]Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani:
Adaptive Spectral Galerkin Methods with Dynamic Marking. SIAM J. Numer. Anal. 54(6): 3193-3213 (2016) - 2015
- [j47]Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado:
A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis. Found. Comput. Math. 15(3): 733-791 (2015) - [j46]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) - [j45]Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado:
A total variation diminishing interpolation operator and applications. Math. Comput. 84(296): 2569-2587 (2015) - [j44]Vivette Girault, Ricardo H. Nochetto, L. Ridgway Scott:
Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Numerische Mathematik 131(4): 771-822 (2015) - [j43]Harbir Antil, Ricardo H. Nochetto, Patrick Sodré:
Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis. SIAM J. Numer. Anal. 53(5): 2279-2306 (2015) - 2014
- [j42]Claudio Canuto, Ricardo H. Nochetto, Marco Verani:
Contraction and optimality properties of adaptive Legendre-Galerkin methods: The one-dimensional case. Comput. Math. Appl. 67(4): 752-770 (2014) - [j41]Claudio Canuto, Ricardo H. Nochetto, Marco Verani:
Adaptive Fourier-Galerkin methods. Math. Comput. 83(288): 1645-1687 (2014) - [j40]Harbir Antil, Ricardo H. Nochetto, Patrick Sodré:
Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions. SIAM J. Control. Optim. 52(5): 2771-2799 (2014) - [j39]Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado:
Discrete Total Variation Flows without Regularization. SIAM J. Numer. Anal. 52(1): 363-385 (2014) - 2013
- [j38]Harbir Antil, Scott E. Field, Frank Herrmann, Ricardo H. Nochetto, Manuel Tiglio:
Two-Step Greedy Algorithm for Reduced Order Quadratures. J. Sci. Comput. 57(3): 604-637 (2013) - [j37]Andrea Bonito, Irene Kyza, Ricardo H. Nochetto:
Time-discrete higher order ALE formulations: a priori error analysis. Numerische Mathematik 125(2): 225-257 (2013) - [j36]Andrea Bonito, Irene Kyza, Ricardo H. Nochetto:
Time-Discrete Higher-Order ALE Formulations: Stability. SIAM J. Numer. Anal. 51(1): 577-604 (2013) - [j35]Andrea Bonito, Ronald A. DeVore, Ricardo H. Nochetto:
Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients. SIAM J. Numer. Anal. 51(6): 3106-3134 (2013) - 2012
- [j34]Albert Cohen, Ronald A. DeVore, Ricardo H. Nochetto:
Convergence Rates of AFEM with H -1 Data. Found. Comput. Math. 12(5): 671-718 (2012) - [j33]Long Chen, Ricardo H. Nochetto, Jinchao Xu:
Optimal multilevel methods for graded bisection grids. Numerische Mathematik 120(1): 1-34 (2012) - [i1]Harbir Antil, Scott E. Field, Frank Herrmann, Ricardo H. Nochetto, Manuel Tiglio:
Two-step greedy algorithm for reduced order quadratures. CoRR abs/1210.0577 (2012) - 2011
- [j32]Khamron Mekchay, Pedro Morin, Ricardo H. Nochetto:
AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property. Math. Comput. 80(274): 625-648 (2011) - [j31]Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto:
Preconditioning a class of fourth order problems by operator splitting. Numerische Mathematik 118(2): 197-228 (2011) - [j30]Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto:
Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. Numerische Mathematik 118(3): 429-456 (2011) - 2010
- [j29]Andrea Bonito, Ricardo H. Nochetto, M. Sebastian Pauletti:
Parametric FEM for geometric biomembranes. J. Comput. Phys. 229(9): 3171-3188 (2010) - [j28]Ricardo H. Nochetto, Shawn W. Walker:
A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes. J. Comput. Phys. 229(18): 6243-6269 (2010) - [j27]Ricardo H. Nochetto, Tobias von Petersdorff, Chen-Song Zhang:
A posteriori error analysis for a class of integral equations and variational inequalities. Numerische Mathematik 116(3): 519-552 (2010) - [j26]Andrea Bonito, Ricardo H. Nochetto:
Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method. SIAM J. Numer. Anal. 48(2): 734-771 (2010) - [j25]Andrea Bonito, Ricardo H. Nochetto, M. Sebastian Pauletti:
Geometrically Consistent Mesh Modification. SIAM J. Numer. Anal. 48(5): 1877-1899 (2010)
2000 – 2009
- 2009
- [j24]Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto:
Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. Numerische Mathematik 114(1): 133 (2009) - 2008
- [j23]José Manuel Cascón, Christian Kreuzer, Ricardo H. Nochetto, Kunibert G. Siebert:
Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method. SIAM J. Numer. Anal. 46(5): 2524-2550 (2008) - [j22]Günay Dogan, Pedro Morin, Ricardo H. Nochetto:
A Variational Shape Optimization Approach for Image Segmentation with a Mumford--Shah Functional. SIAM J. Sci. Comput. 30(6): 3028-3049 (2008) - 2006
- [j21]Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto:
A posteriori error estimates for the Crank-Nicolson method for parabolic equations. Math. Comput. 75(254): 511-531 (2006) - [j20]Charalambos G. Makridakis, Ricardo H. Nochetto:
A posteriori error analysis for higher order dissipative methods for evolution problems. Numerische Mathematik 104(4): 489-514 (2006) - [j19]Ricardo H. Nochetto, Alfred Schmidt, Kunibert G. Siebert, Andreas Veeser:
Pointwise a posteriori error estimates for monotone semi-linear equations. Numerische Mathematik 104(4): 515-538 (2006) - 2005
- [j18]Ricardo H. Nochetto, Jae-Hong Pyo:
Error estimates for semi-discrete gauge methods for the Navier-Stokes equations. Math. Comput. 74(250): 521-542 (2005) - [j17]Omar Lakkis, Ricardo H. Nochetto:
A Posteriori Error Analysis for the Mean Curvature Flow of Graphs. SIAM J. Numer. Anal. 42(5): 1875-1898 (2005) - [j16]Ricardo H. Nochetto, Kunibert G. Siebert, Andreas Veeser:
Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems. SIAM J. Numer. Anal. 42(5): 2118-2135 (2005) - [j15]Ricardo H. Nochetto, Jae-Hong Pyo:
The Gauge-Uzawa Finite Element Method. Part I: The Navier-Stokes Equations. SIAM J. Numer. Anal. 43(3): 1043-1068 (2005) - [j14]Khamron Mekchay, Ricardo H. Nochetto:
Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs. SIAM J. Numer. Anal. 43(5): 1803-1827 (2005) - 2004
- [j13]Ricardo H. Nochetto, Jae-Hong Pyo:
Optimal relaxation parameter for the Uzawa Method. Numerische Mathematik 98(4): 695-702 (2004) - [j12]Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto:
Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation. SIAM J. Numer. Anal. 42(2): 773-799 (2004) - 2003
- [j11]Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert:
Local problems on stars: A posteriori error estimators, convergence, and performance. Math. Comput. 72(243): 1067-1097 (2003) - [j10]Ricardo H. Nochetto, Kunibert G. Siebert, Andreas Veeser:
Pointwise a posteriori error control for elliptic obstacle problems. Numerische Mathematik 95(1): 163-195 (2003) - [j9]Charalambos G. Makridakis, Ricardo H. Nochetto:
Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems. SIAM J. Numer. Anal. 41(4): 1585-1594 (2003) - 2002
- [j8]Ricardo H. Nochetto, Lars B. Wahlbin:
Positivity preserving finite element approximation. Math. Comput. 71(240): 1405-1419 (2002) - [j7]Willy Dörfler, Ricardo H. Nochetto:
Small data oscillation implies the saturation assumption. Numerische Mathematik 91(1): 1-12 (2002) - [j6]Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto:
An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition. SIAM J. Numer. Anal. 40(4): 1207-1229 (2002) - [j5]Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert:
Convergence of Adaptive Finite Element Methods. SIAM Rev. 44(4): 631-658 (2002) - 2000
- [j4]Ricardo H. Nochetto, Alfred Schmidt, Claudio Verdi:
A posteriori error estimation and adaptivity for degenerate parabolic problems. Math. Comput. 69(229): 1-24 (2000) - [j3]Zhiming Chen, Ricardo H. Nochetto:
Residual type a posteriori error estimates for elliptic obstacle problems. Numerische Mathematik 84(4): 527-548 (2000) - [j2]Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert:
Data Oscillation and Convergence of Adaptive FEM. SIAM J. Numer. Anal. 38(2): 466-488 (2000)
1990 – 1999
- 1991
- [j1]Ricardo H. Nochetto, Maurizio Paolini, Claudio Verdi:
An Adaptive Finite Element Method for Two-Phase Stefan Problems in Two Space Dimensions. II: Implementation and Numerical Experiments. SIAM J. Sci. Comput. 12(5): 1207-1244 (1991)
Coauthor Index
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