An Adaptive Finite Element Method for Two-Phase Stefan Problems in Two Space Dimensions. II: Implementation and Numerical Experiments. - Ricardo H. Nochetto; Maurizio Paolini; Claudio Verdi (SIAM J. Sci. Comput., 1991)

A posteriori error estimation and adaptivity for degenerate parabolic problems. - Ricardo H. Nochetto; Alfred Schmidt; Claudio Verdi (Math. Comput., 2000)

Residual type a posteriori error estimates for elliptic obstacle problems. - Zhiming Chen; Ricardo H. Nochetto (Numerische Mathematik, 2000)

Data Oscillation and Convergence of Adaptive FEM. - Pedro Morin; Ricardo H. Nochetto; Kunibert G. Siebert (SIAM J. Numer. Anal., 2000)

Positivity preserving finite element approximation. - Ricardo H. Nochetto; Lars B. Wahlbin (Math. Comput., 2002)

Small data oscillation implies the saturation assumption. - Willy Dörfler; Ricardo H. Nochetto (Numerische Mathematik, 2002)

An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition. - Eberhard Bänsch; Pedro Morin; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2002)

Convergence of Adaptive Finite Element Methods. - Pedro Morin; Ricardo H. Nochetto; Kunibert G. Siebert (SIAM Rev., 2002)

Local problems on stars: A posteriori error estimators, convergence, and performance. - Pedro Morin; Ricardo H. Nochetto; Kunibert G. Siebert (Math. Comput., 2003)

Pointwise a posteriori error control for elliptic obstacle problems. - Ricardo H. Nochetto; Kunibert G. Siebert; Andreas Veeser (Numerische Mathematik, 2003)

Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems. - Charalambos G. Makridakis; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2003)

Optimal relaxation parameter for the Uzawa Method. - Ricardo H. Nochetto; Jae-Hong Pyo (Numerische Mathematik, 2004)

Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation. - Eberhard Bänsch; Pedro Morin; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2004)

Error estimates for semi-discrete gauge methods for the Navier-Stokes equations. - Ricardo H. Nochetto; Jae-Hong Pyo (Math. Comput., 2005)

A Posteriori Error Analysis for the Mean Curvature Flow of Graphs. - Omar Lakkis; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2005)

Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs. - Khamron Mekchay; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2005)

The Gauge-Uzawa Finite Element Method. Part I: The Navier-Stokes Equations. - Ricardo H. Nochetto; Jae-Hong Pyo (SIAM J. Numer. Anal., 2005)

Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems. - Ricardo H. Nochetto; Kunibert G. Siebert; Andreas Veeser (SIAM J. Numer. Anal., 2005)

A posteriori error estimates for the Crank-Nicolson method for parabolic equations. - Georgios Akrivis; Charalambos G. Makridakis; Ricardo H. Nochetto (Math. Comput., 2006)

A posteriori error analysis for higher order dissipative methods for evolution problems. - Charalambos G. Makridakis; Ricardo H. Nochetto (Numerische Mathematik, 2006)

Pointwise a posteriori error estimates for monotone semi-linear equations. - Ricardo H. Nochetto; Alfred Schmidt; Kunibert G. Siebert; Andreas Veeser (Numerische Mathematik, 2006)

Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method. - José Manuel Cascón; Christian Kreuzer; Ricardo H. Nochetto; Kunibert G. Siebert (SIAM J. Numer. Anal., 2008)

A Variational Shape Optimization Approach for Image Segmentation with a Mumford–Shah Functional. - Günay Dogan; Pedro Morin; Ricardo H. Nochetto (SIAM J. Sci. Comput., 2008)

Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods. - Georgios Akrivis; Charalambos G. Makridakis; Ricardo H. Nochetto (Numerische Mathematik, 2009)

Parametric FEM for geometric biomembranes. - Andrea Bonito; Ricardo H. Nochetto; M. Sebastian Pauletti (J. Comput. Phys., 2010)

A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes. - Ricardo H. Nochetto; Shawn W. Walker (J. Comput. Phys., 2010)

A posteriori error analysis for a class of integral equations and variational inequalities. - Ricardo H. Nochetto; Tobias von Petersdorff; Chen-Song Zhang (Numerische Mathematik, 2010)

Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method. - Andrea Bonito; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2010)

Geometrically Consistent Mesh Modification. - Andrea Bonito; Ricardo H. Nochetto; M. Sebastian Pauletti (SIAM J. Numer. Anal., 2010)

AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property. - Khamron Mekchay; Pedro Morin; Ricardo H. Nochetto (Math. Comput., 2011)

Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence. - Georgios Akrivis; Charalambos G. Makridakis; Ricardo H. Nochetto (Numerische Mathematik, 2011)

Preconditioning a class of fourth order problems by operator splitting. - Eberhard Bänsch; Pedro Morin; Ricardo H. Nochetto (Numerische Mathematik, 2011)

Convergence Rates of AFEM with H -1 Data. - Albert Cohen 002; Ronald A. DeVore; Ricardo H. Nochetto (Found. Comput. Math., 2012)

Optimal multilevel methods for graded bisection grids. - Long Chen 002; Ricardo H. Nochetto; Jinchao Xu (Numerische Mathematik, 2012)

Two-Step Greedy Algorithm for Reduced Order Quadratures. - Harbir Antil; Scott E. Field; Frank Herrmann; Ricardo H. Nochetto; Manuel Tiglio (J. Sci. Comput., 2013)

Time-discrete higher order ALE formulations: a priori error analysis. - Andrea Bonito; Irene Kyza; Ricardo H. Nochetto (Numerische Mathematik, 2013)

Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients. - Andrea Bonito; Ronald A. DeVore; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2013)

Time-Discrete Higher-Order ALE Formulations: Stability. - Andrea Bonito; Irene Kyza; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2013)

Contraction and optimality properties of adaptive Legendre-Galerkin methods: The one-dimensional case. - Claudio Canuto; Ricardo H. Nochetto; Marco Verani (Comput. Math. Appl., 2014)

Adaptive Fourier-Galerkin methods. - Claudio Canuto; Ricardo H. Nochetto; Marco Verani (Math. Comput., 2014)

Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions. - Harbir Antil; Ricardo H. Nochetto; Patrick Sodré (SIAM J. Control. Optim., 2014)

Discrete Total Variation Flows without Regularization. - Sören Bartels; Ricardo H. Nochetto; Abner J. Salgado (SIAM J. Numer. Anal., 2014)

A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis. - Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Found. Comput. Math., 2015)

A PDE approach to fractional diffusion: A posteriori error analysis. - Long Chen 002; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (J. Comput. Phys., 2015)

A total variation diminishing interpolation operator and applications. - Sören Bartels; Ricardo H. Nochetto; Abner J. Salgado (Math. Comput., 2015)

Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra. - Vivette Girault; Ricardo H. Nochetto; L. Ridgway Scott (Numerische Mathematik, 2015)

Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis. - Harbir Antil; Ricardo H. Nochetto; Patrick Sodré (SIAM J. Numer. Anal., 2015)

High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates. - Andrea Bonito; José Manuel Cascón; Khamron Mekchay; Pedro Morin; Ricardo H. Nochetto (Found. Comput. Math., 2016)

Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems. - Bin Zheng; Luoping Chen; Xiaozhe Hu; Long Chen 002; Ricardo H. Nochetto; Jinchao Xu (J. Sci. Comput., 2016)

Multilevel methods for nonuniformly elliptic operators and fractional diffusion. - Long Chen 002; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Math. Comput., 2016)

Contraction property of adaptive hybridizable discontinuous Galerkin methods. - Bernardo Cockburn; Ricardo H. Nochetto; Wujun Zhang (Math. Comput., 2016)

Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications. - Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Numerische Mathematik, 2016)

Adaptive Spectral Galerkin Methods with Dynamic Marking. - Claudio Canuto; Ricardo H. Nochetto; Rob Stevenson 001; Marco Verani (SIAM J. Numer. Anal., 2016)

A PDE Approach to Space-Time Fractional Parabolic Problems. - Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (SIAM J. Numer. Anal., 2016)

On p-robust saturation for hp-AFEM. - Claudio Canuto; Ricardo H. Nochetto; Rob Stevenson 001; Marco Verani (Comput. Math. Appl., 2017)

Convergence and optimality of ({ mathbf {hp}} ) -AFEM. - Claudio Canuto; Ricardo H. Nochetto; Rob Stevenson 001; Marco Verani (Numerische Mathematik, 2017)

A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation. - Ricardo H. Nochetto; Shawn W. Walker; Wujun Zhang (SIAM J. Numer. Anal., 2017)

Numerical methods for fractional diffusion. - Andrea Bonito; Juan Pablo Borthagaray; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado (Comput. Vis. Sci., 2018)

Discrete ABP Estimate and Convergence Rates for Linear Elliptic Equations in Non-divergence Form. - Ricardo H. Nochetto; Wujun Zhang (Found. Comput. Math., 2018)

Modeling and simulation of thermally actuated bilayer plates. - Sören Bartels; Andrea Bonito; Anastasia Hanifah Muliana; Ricardo H. Nochetto (J. Comput. Phys., 2018)

The Ericksen model of liquid crystals with colloidal and electric effects. - Ricardo H. Nochetto; Shawn W. Walker; Wujun Zhang (J. Comput. Phys., 2018)

Unconditional Stability of Semi-Implicit Discretizations of Singular Flows. - Sören Bartels; Lars Diening; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2018)

Optimal Pointwise Error Estimates for Two-Scale Methods for the Monge-Ampère Equation. - Wenbo Li 009; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2018)

Finite Element Methods for the Laplace-Beltrami Operator. - Andrea Bonito; Alan Demlow; Ricardo H. Nochetto (CoRR, 2019)

Linear and Nonlinear Fractional Diffusion. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (CoRR, 2019)

DG Approach to Large Bending Plate Deformations with Isometry Constraint. - Andrea Bonito; Ricardo H. Nochetto; Dimitrios Ntogkas (CoRR, 2019)

Tensor FEM for Spectral Fractional Diffusion. - Lehel Banjai; Jens Markus Melenk; Ricardo H. Nochetto; Enrique Otárola; Abner J. Salgado; Christoph Schwab (Found. Comput. Math., 2019)

Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution. - Ricardo H. Nochetto; Dimitrios Ntogkas; Wujun Zhang (Math. Comput., 2019)

Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation. - Ricardo H. Nochetto; Wujun Zhang (Numerische Mathematik, 2019)

On the Dynamics of Ferrofluids: Global Weak Solutions to the Rosensweig System and Rigorous Convergence to Equilibrium. - Ricardo H. Nochetto; Konstantina Trivisa; Franziska Weber (SIAM J. Math. Anal., 2019)

Convergent Two-Scale Filtered Scheme for the Monge-Ampère Equation. - Ricardo H. Nochetto; Dimitrios Ntogkas (SIAM J. Sci. Comput., 2019)

Linear and nonlinear fractional elliptic problems. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (75 Years of Mathematics of Computation, 2020)

Quantitative Stability and Error Estimates for Optimal Transport Plans. - Wenbo Li 009; Ricardo H. Nochetto (CoRR, 2020)

Equilibrium analysis of an immersed rigid leaflet by the virtual element method. - L. Beirão da Veiga; Claudio Canuto; Ricardo H. Nochetto; Giuseppe Vacca (CoRR, 2020)

Discontinuous Galerkin approach to large bending deformation of a bilayer plate with isometry constraint. - Andrea Bonito; Ricardo H. Nochetto; Dimitrios Ntogkas (J. Comput. Phys., 2020)

A structure-preserving FEM for the uniaxially constrained ( mathbf{Q} ) -tensor model of nematic liquid crystals. - Juan Pablo Borthagaray; Ricardo H. Nochetto; Shawn W. Walker (Numerische Mathematik, 2020)

Robust BPX preconditioner for the integral fractional Laplacian on bounded domains. - Juan Pablo Borthagaray; Ricardo H. Nochetto; Shuonan Wu; Jinchao Xu (CoRR, 2021)

Finite element algorithms for nonlocal minimal graphs. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (CoRR, 2021)

Numerical analysis of the LDG method for large deformations of prestrained plates. - Andrea Bonito; Diane Guignard; Ricardo H. Nochetto; Shuo Yang (CoRR, 2021)

Constructive approximation on graded meshes for the integral fractional Laplacian. - Juan Pablo Borthagaray; Ricardo H. Nochetto (CoRR, 2021)

Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains. - Juan Pablo Borthagaray; Ricardo H. Nochetto (CoRR, 2021)

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis. - L. Beirão da Veiga; Claudio Canuto; Ricardo H. Nochetto; Giuseppe Vacca; Marco Verani (CoRR, 2021)

Local Energy Estimates for the Fractional Laplacian. - Juan Pablo Borthagaray; Dmitriy Leykekhman; Ricardo H. Nochetto (SIAM J. Numer. Anal., 2021)

Reduced Membrane Model for Liquid Crystal Polymer Networks: Asymptotics and Computation. - Lucas Bouck; Ricardo H. Nochetto; Shuo Yang (CoRR, 2022)

Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (CoRR, 2022)

LDG approximation of large deformations of prestrained plates. - Andrea Bonito; Diane Guignard; Ricardo H. Nochetto; Shuo Yang (J. Comput. Phys., 2022)

Two-scale methods for convex envelopes. - Wenbo Li 009; Ricardo H. Nochetto (Math. Comput., 2022)

Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model. - Ricardo H. Nochetto; Michele Ruggeri; Shuo Yang (SIAM J. Numer. Anal., 2022)

Γ-convergent LDG method for large bending deformations of bilayer plates. - Andrea Bonito; Ricardo H. Nochetto; Shuo Yang (CoRR, 2023)

Adaptive VEM for variable data: convergence and optimality. - L. Beirão da Veiga; Claudio Canuto; Ricardo H. Nochetto; Giuseppe Vacca; Marco Verani (CoRR, 2023)

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property. - L. Beirão da Veiga; Claudio Canuto; Ricardo H. Nochetto; Giuseppe Vacca; Marco Verani (SIAM J. Numer. Anal., 2023)

Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains. - Juan Pablo Borthagaray; Ricardo H. Nochetto; Shuonan Wu; Jinchao Xu (Math. Comput., 2023)

Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks. - Lucas Bouck; Ricardo H. Nochetto; Shuo Yang (SIAM J. Numer. Anal., 2023)

Adaptive finite element methods. - Andrea Bonito; Claudio Canuto; Ricardo H. Nochetto; Andreas Veeser (Acta Numer., 2024)

Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients. - Guillaume Bonnet; Andrea Cangiani; Ricardo H. Nochetto (CoRR, 2024)

Projection-Free Method for the Full Frank-Oseen Model of Liquid Crystals. - Lucas Bouck; Ricardo H. Nochetto (CoRR, 2024)

Monotone two-scale methods for a class of integrodifferential operators and applications. - Juan Pablo Borthagaray; Ricardo H. Nochetto; Abner J. Salgado; Céline Torres (CoRR, 2024)

Inf-Sup Stability of Parabolic TraceFEM. - Lucas Bouck; Ricardo H. Nochetto; Mansur Shakipov; Vladimir Yushutin (CoRR, 2024)

Quasi-linear Fractional-Order Operators in Lipschitz Domains. - Juan Pablo Borthagaray; Wenbo Li 009; Ricardo H. Nochetto (SIAM J. Math. Anal., 2024)

A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order. - Lucas Bouck; Ricardo H. Nochetto; Vladimir Yushutin (J. Nonlinear Sci., 2024)

Surface Stokes Without Inf-Sup Condition. - Ricardo H. Nochetto; Mansur Shakipov (CoRR, 2025)