Ricardo H. Nochetto

110 papers Journal 109

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Surface Stokes Without Inf-Sup Condition. CoRR Ricardo H. Nochetto, Mansur Shakipov
2024	J	`jnl`	A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order. J. Nonlinear Sci. Lucas Bouck, Ricardo H. Nochetto, Vladimir Yushutin
2024	J	`jnl`	Adaptive Finite Element Methods. CoRR Andrea Bonito, Claudio Canuto, Ricardo H. Nochetto, Andreas Veeser
2024	J	`jnl`	Adaptive finite element methods. Acta Numer. Andrea Bonito, Claudio Canuto, Ricardo H. Nochetto, Andreas Veeser
2024	J	`jnl`	Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients. CoRR Guillaume Bonnet, Andrea Cangiani, Ricardo H. Nochetto
2024	J	`jnl`	Inf-Sup Stability of Parabolic TraceFEM. CoRR Lucas Bouck, Ricardo H. Nochetto, Mansur Shakipov, Vladimir Yushutin
2024	J	`jnl`	Monotone two-scale methods for a class of integrodifferential operators and applications. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto, Abner J. Salgado, Céline Torres
2024	J	`jnl`	Projection-Free Method for the Full Frank-Oseen Model of Liquid Crystals. CoRR Lucas Bouck, Ricardo H. Nochetto
2024	J	`jnl`	Quasi-linear Fractional-Order Operators in Lipschitz Domains. SIAM J. Math. Anal. Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2023	J	`jnl`	Adaptive VEM for variable data: convergence and optimality. CoRR L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani
2023	J	`jnl`	Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property. SIAM J. Numer. Anal. L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani
2023	J	`jnl`	Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks. SIAM J. Numer. Anal. Lucas Bouck, Ricardo H. Nochetto, Shuo Yang
2023	J	`jnl`	Quasi-linear fractional-order operators in Lipschitz domains. CoRR Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2023	J	`jnl`	Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. Math. Comput. Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu
2023	J	`jnl`	Γ-convergent LDG method for large bending deformations of bilayer plates. CoRR Andrea Bonito, Ricardo H. Nochetto, Shuo Yang
2022	J	`jnl`	Convergent FEM for a membrane model of liquid crystal polymer networks. CoRR Lucas Bouck, Ricardo H. Nochetto, Shuo Yang
2022	J	`jnl`	Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation. CoRR Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2022	J	`jnl`	Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model. SIAM J. Numer. Anal. Ricardo H. Nochetto, Michele Ruggeri, Shuo Yang
2022	J	`jnl`	LDG approximation of large deformations of prestrained plates. J. Comput. Phys. Andrea Bonito, Diane Guignard, Ricardo H. Nochetto, Shuo Yang
2022	J	`jnl`	Reduced Membrane Model for Liquid Crystal Polymer Networks: Asymptotics and Computation. CoRR Lucas Bouck, Ricardo H. Nochetto, Shuo Yang
2022	J	`jnl`	Two-scale methods for convex envelopes. Math. Comput. Wenbo Li, Ricardo H. Nochetto
2021	J	`jnl`	Adaptive VEM: Stabilization-Free A Posteriori Error Analysis. CoRR L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca, Marco Verani
2021	J	`jnl`	Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto
2021	J	`jnl`	Constructive approximation on graded meshes for the integral fractional Laplacian. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto
2021	J	`jnl`	Finite element algorithms for nonlocal minimal graphs. CoRR Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2021	J	`jnl`	Gamma-convergent projection-free finite element methods for nematic liquid crystals: The Ericksen model. CoRR Ricardo H. Nochetto, Michele Ruggeri, Shuo Yang
2021	J	`jnl`	Local Energy Estimates for the Fractional Laplacian. SIAM J. Numer. Anal. Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
2021	J	`jnl`	Numerical analysis of the LDG method for large deformations of prestrained plates. CoRR Andrea Bonito, Diane Guignard, Ricardo H. Nochetto, Shuo Yang
2021	J	`jnl`	Robust BPX preconditioner for the integral fractional Laplacian on bounded domains. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu, Jinchao Xu
2020	J	`jnl`	A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$ -tensor model of nematic liquid crystals. Numerische Mathematik Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
2020	J	`jnl`	Discontinuous Galerkin Approach to Large Bending Deformation of a Bilayer Plate with Isometry Constraint. CoRR Andrea Bonito, Ricardo H. Nochetto, Dimitrios Ntogkas
2020	J	`jnl`	Discontinuous Galerkin approach to large bending deformation of a bilayer plate with isometry constraint. J. Comput. Phys. Andrea Bonito, Ricardo H. Nochetto, Dimitrios Ntogkas
2020	J	`jnl`	Equilibrium analysis of an immersed rigid leaflet by the virtual element method. CoRR L. Beirão da Veiga, Claudio Canuto, Ricardo H. Nochetto, Giuseppe Vacca
2020	J	`jnl`	LDG approximation of large deformations of prestrained plates. CoRR Andrea Bonito, Diane Guignard, Ricardo H. Nochetto, Shuo Yang
2020	—	`ch.`	Linear and nonlinear fractional elliptic problems. 75 Years of Mathematics of Computation Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2020	J	`jnl`	Local energy estimates for the fractional Laplacian. CoRR Juan Pablo Borthagaray, Dmitriy Leykekhman, Ricardo H. Nochetto
2020	J	`jnl`	Quantitative Stability and Error Estimates for Optimal Transport Plans. CoRR Wenbo Li, Ricardo H. Nochetto
2019	J	`jnl`	A structure-preserving FEM for the uniaxially constrained $\mathbf{Q}$-tensor model of nematic liquid crystals. CoRR Juan Pablo Borthagaray, Ricardo H. Nochetto, Shawn W. Walker
2019	J	`jnl`	Convergent Two-Scale Filtered Scheme for the Monge-Ampère Equation. SIAM J. Sci. Comput. Ricardo H. Nochetto, Dimitrios Ntogkas
2019	J	`jnl`	DG Approach to Large Bending Plate Deformations with Isometry Constraint. CoRR Andrea Bonito, Ricardo H. Nochetto, Dimitrios Ntogkas
2019	J	`jnl`	Finite Element Methods for the Laplace-Beltrami Operator. CoRR Andrea Bonito, Alan Demlow, Ricardo H. Nochetto
2019	J	`jnl`	Linear and Nonlinear Fractional Diffusion. CoRR Juan Pablo Borthagaray, Wenbo Li, Ricardo H. Nochetto
2019	J	`jnl`	On the Dynamics of Ferrofluids: Global Weak Solutions to the Rosensweig System and Rigorous Convergence to Equilibrium. SIAM J. Math. Anal. Ricardo H. Nochetto, Konstantina Trivisa, Franziska Weber
2019	J	`jnl`	Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation. Numerische Mathematik Ricardo H. Nochetto, Wujun Zhang
2019	J	`jnl`	Tensor FEM for Spectral Fractional Diffusion. Found. Comput. Math. Lehel Banjai, Jens Markus Melenk, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado, Christoph Schwab
2019	J	`jnl`	Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution. Math. Comput. Ricardo H. Nochetto, Dimitrios Ntogkas, Wujun Zhang
2018	J	`jnl`	Discrete ABP Estimate and Convergence Rates for Linear Elliptic Equations in Non-divergence Form. Found. Comput. Math. Ricardo H. Nochetto, Wujun Zhang
2018	J	`jnl`	Modeling and simulation of thermally actuated bilayer plates. J. Comput. Phys. Sören Bartels, Andrea Bonito, Anastasia Hanifah Muliana, Ricardo H. Nochetto
2018	J	`jnl`	Numerical methods for fractional diffusion. Comput. Vis. Sci. Andrea Bonito, Juan Pablo Borthagaray, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
2018	J	`jnl`	Optimal Pointwise Error Estimates for Two-Scale Methods for the Monge-Ampère Equation. SIAM J. Numer. Anal. Wenbo Li, Ricardo H. Nochetto
2018	J	`jnl`	The Ericksen model of liquid crystals with colloidal and electric effects. J. Comput. Phys. Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
2018	J	`jnl`	Unconditional Stability of Semi-Implicit Discretizations of Singular Flows. SIAM J. Numer. Anal. Sören Bartels, Lars Diening, Ricardo H. Nochetto
2017	J	`jnl`	A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation. SIAM J. Numer. Anal. Ricardo H. Nochetto, Shawn W. Walker, Wujun Zhang
2017	J	`jnl`	Convergence and optimality of ${\mathbf {hp}}$ -AFEM. Numerische Mathematik Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani
2017	J	`jnl`	On p-robust saturation for hp-AFEM. Comput. Math. Appl. Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani
2016	J	`jnl`	A PDE Approach to Space-Time Fractional Parabolic Problems. SIAM J. Numer. Anal. Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
2016	J	`jnl`	Adaptive Spectral Galerkin Methods with Dynamic Marking. SIAM J. Numer. Anal. Claudio Canuto, Ricardo H. Nochetto, Rob Stevenson, Marco Verani
2016	J	`jnl`	Contraction property of adaptive hybridizable discontinuous Galerkin methods. Math. Comput. Bernardo Cockburn, Ricardo H. Nochetto, Wujun Zhang
2016	J	`jnl`	Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems. J. Sci. Comput. Bin Zheng, Luoping Chen, Xiaozhe Hu, Long Chen, Ricardo H. Nochetto, Jinchao Xu
2016	J	`jnl`	High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates. Found. Comput. Math. Andrea Bonito, José Manuel Cascón, Khamron Mekchay, Pedro Morin, Ricardo H. Nochetto
2016	J	`jnl`	Multilevel methods for nonuniformly elliptic operators and fractional diffusion. Math. Comput. Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
2016	J	`jnl`	Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. Numerische Mathematik Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
2015	J	`jnl`	A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis. Found. Comput. Math. Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
2015	J	`jnl`	A PDE approach to fractional diffusion: A posteriori error analysis. J. Comput. Phys. Long Chen, Ricardo H. Nochetto, Enrique Otárola, Abner J. Salgado
2015	J	`jnl`	A total variation diminishing interpolation operator and applications. Math. Comput. Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado
2015	J	`jnl`	Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. Numerische Mathematik Vivette Girault, Ricardo H. Nochetto, L. Ridgway Scott
2015	J	`jnl`	Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis. SIAM J. Numer. Anal. Harbir Antil, Ricardo H. Nochetto, Patrick Sodré
2014	J	`jnl`	Adaptive Fourier-Galerkin methods. Math. Comput. Claudio Canuto, Ricardo H. Nochetto, Marco Verani
2014	J	`jnl`	Contraction and optimality properties of adaptive Legendre-Galerkin methods: The one-dimensional case. Comput. Math. Appl. Claudio Canuto, Ricardo H. Nochetto, Marco Verani
2014	J	`jnl`	Discrete Total Variation Flows without Regularization. SIAM J. Numer. Anal. Sören Bartels, Ricardo H. Nochetto, Abner J. Salgado
2014	J	`jnl`	Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions. SIAM J. Control. Optim. Harbir Antil, Ricardo H. Nochetto, Patrick Sodré
2013	J	`jnl`	Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients. SIAM J. Numer. Anal. Andrea Bonito, Ronald A. DeVore, Ricardo H. Nochetto
2013	J	`jnl`	Time-Discrete Higher-Order ALE Formulations: Stability. SIAM J. Numer. Anal. Andrea Bonito, Irene Kyza, Ricardo H. Nochetto
2013	J	`jnl`	Time-discrete higher order ALE formulations: a priori error analysis. Numerische Mathematik Andrea Bonito, Irene Kyza, Ricardo H. Nochetto
2013	J	`jnl`	Two-Step Greedy Algorithm for Reduced Order Quadratures. J. Sci. Comput. Harbir Antil, Scott E. Field, Frank Herrmann, Ricardo H. Nochetto, Manuel Tiglio
2012	J	`jnl`	Convergence Rates of AFEM with H -1 Data. Found. Comput. Math. Albert Cohen, Ronald A. DeVore, Ricardo H. Nochetto
2012	J	`jnl`	Optimal multilevel methods for graded bisection grids. Numerische Mathematik Long Chen, Ricardo H. Nochetto, Jinchao Xu
2012	J	`jnl`	Two-step greedy algorithm for reduced order quadratures CoRR Harbir Antil, Scott E. Field, Frank Herrmann, Ricardo H. Nochetto, Manuel Tiglio
2011	J	`jnl`	AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property. Math. Comput. Khamron Mekchay, Pedro Morin, Ricardo H. Nochetto
2011	J	`jnl`	Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
2011	J	`jnl`	Preconditioning a class of fourth order problems by operator splitting. Numerische Mathematik Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto
2010	J	`jnl`	A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes. J. Comput. Phys. Ricardo H. Nochetto, Shawn W. Walker
2010	J	`jnl`	A posteriori error analysis for a class of integral equations and variational inequalities. Numerische Mathematik Ricardo H. Nochetto, Tobias von Petersdorff, Chen-Song Zhang
2010	J	`jnl`	Geometrically Consistent Mesh Modification. SIAM J. Numer. Anal. Andrea Bonito, Ricardo H. Nochetto, M. Sebastian Pauletti
2010	J	`jnl`	Parametric FEM for geometric biomembranes. J. Comput. Phys. Andrea Bonito, Ricardo H. Nochetto, M. Sebastian Pauletti
2010	J	`jnl`	Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method. SIAM J. Numer. Anal. Andrea Bonito, Ricardo H. Nochetto
2009	J	`jnl`	Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. Numerische Mathematik Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
2008	J	`jnl`	A Variational Shape Optimization Approach for Image Segmentation with a Mumford--Shah Functional. SIAM J. Sci. Comput. Günay Dogan, Pedro Morin, Ricardo H. Nochetto
2008	J	`jnl`	Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method. SIAM J. Numer. Anal. José Manuel Cascón, Christian Kreuzer, Ricardo H. Nochetto, Kunibert G. Siebert
2006	J	`jnl`	A posteriori error analysis for higher order dissipative methods for evolution problems. Numerische Mathematik Charalambos G. Makridakis, Ricardo H. Nochetto
2006	J	`jnl`	A posteriori error estimates for the Crank-Nicolson method for parabolic equations. Math. Comput. Georgios Akrivis, Charalambos G. Makridakis, Ricardo H. Nochetto
2006	J	`jnl`	Pointwise a posteriori error estimates for monotone semi-linear equations. Numerische Mathematik Ricardo H. Nochetto, Alfred Schmidt, Kunibert G. Siebert, Andreas Veeser
2005	J	`jnl`	A Posteriori Error Analysis for the Mean Curvature Flow of Graphs. SIAM J. Numer. Anal. Omar Lakkis, Ricardo H. Nochetto
2005	J	`jnl`	Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs. SIAM J. Numer. Anal. Khamron Mekchay, Ricardo H. Nochetto
2005	J	`jnl`	Error estimates for semi-discrete gauge methods for the Navier-Stokes equations. Math. Comput. Ricardo H. Nochetto, Jae-Hong Pyo
2005	J	`jnl`	Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems. SIAM J. Numer. Anal. Ricardo H. Nochetto, Kunibert G. Siebert, Andreas Veeser
2005	J	`jnl`	The Gauge-Uzawa Finite Element Method. Part I: The Navier-Stokes Equations. SIAM J. Numer. Anal. Ricardo H. Nochetto, Jae-Hong Pyo
2004	J	`jnl`	Optimal relaxation parameter for the Uzawa Method. Numerische Mathematik Ricardo H. Nochetto, Jae-Hong Pyo
2004	J	`jnl`	Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation. SIAM J. Numer. Anal. Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto
2003	J	`jnl`	Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems. SIAM J. Numer. Anal. Charalambos G. Makridakis, Ricardo H. Nochetto
2003	J	`jnl`	Local problems on stars: A posteriori error estimators, convergence, and performance. Math. Comput. Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert
2003	J	`jnl`	Pointwise a posteriori error control for elliptic obstacle problems. Numerische Mathematik Ricardo H. Nochetto, Kunibert G. Siebert, Andreas Veeser
2002	J	`jnl`	An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition. SIAM J. Numer. Anal. Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto
2002	J	`jnl`	Convergence of Adaptive Finite Element Methods. SIAM Rev. Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert
2002	J	`jnl`	Positivity preserving finite element approximation. Math. Comput. Ricardo H. Nochetto, Lars B. Wahlbin
2002	J	`jnl`	Small data oscillation implies the saturation assumption. Numerische Mathematik Willy Dörfler, Ricardo H. Nochetto
2000	J	`jnl`	A posteriori error estimation and adaptivity for degenerate parabolic problems. Math. Comput. Ricardo H. Nochetto, Alfred Schmidt, Claudio Verdi
2000	J	`jnl`	Data Oscillation and Convergence of Adaptive FEM. SIAM J. Numer. Anal. Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert
2000	J	`jnl`	Residual type a posteriori error estimates for elliptic obstacle problems. Numerische Mathematik Zhiming Chen, Ricardo H. Nochetto
1991	J	`jnl`	An Adaptive Finite Element Method for Two-Phase Stefan Problems in Two Space Dimensions. II: Implementation and Numerical Experiments. SIAM J. Sci. Comput. Ricardo H. Nochetto, Maurizio Paolini, Claudio Verdi