Ricardo H. Nochetto

Orcid: 0009-0002-8895-1144

According to our database1, Ricardo H. Nochetto authored at least 100 papers between 1991 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2024
A Hydrodynamical Model of Nematic Liquid Crystal Films with a General State of Orientational Order.
J. Nonlinear Sci., February, 2024

Quasi-linear Fractional-Order Operators in Lipschitz Domains.
SIAM J. Math. Anal., 2024

Inf-Sup Stability of Parabolic TraceFEM.
CoRR, 2024

Monotone two-scale methods for a class of integrodifferential operators and applications.
CoRR, 2024

Projection-Free Method for the Full Frank-Oseen Model of Liquid Crystals.
CoRR, 2024

Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients.
CoRR, 2024

Adaptive finite element methods.
Acta Numer., 2024

2023
Convergent FEM for a Membrane Model of Liquid Crystal Polymer Networks.
SIAM J. Numer. Anal., December, 2023

Robust BPX preconditioner for fractional Laplacians on bounded Lipschitz domains.
Math. Comput., June, 2023

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis and Contraction Property.
SIAM J. Numer. Anal., April, 2023

Adaptive VEM for variable data: convergence and optimality.
CoRR, 2023

Γ-convergent LDG method for large bending deformations of bilayer plates.
CoRR, 2023

2022
Gamma-Convergent Projection-Free Finite Element Methods for Nematic Liquid Crystals: The Ericksen Model.
SIAM J. Numer. Anal., 2022

Two-scale methods for convex envelopes.
Math. Comput., 2022

LDG approximation of large deformations of prestrained plates.
J. Comput. Phys., 2022

Fractional Elliptic Problems on Lipschitz Domains: Regularity and Approximation.
CoRR, 2022

Reduced Membrane Model for Liquid Crystal Polymer Networks: Asymptotics and Computation.
CoRR, 2022

2021
Local Energy Estimates for the Fractional Laplacian.
SIAM J. Numer. Anal., 2021

Adaptive VEM: Stabilization-Free A Posteriori Error Analysis.
CoRR, 2021

Besov regularity for the Dirichlet integral fractional Laplacian in Lipschitz domains.
CoRR, 2021

Constructive approximation on graded meshes for the integral fractional Laplacian.
CoRR, 2021

Numerical analysis of the LDG method for large deformations of prestrained plates.
CoRR, 2021

Finite element algorithms for nonlocal minimal graphs.
CoRR, 2021

Robust BPX preconditioner for the integral fractional Laplacian on bounded domains.
CoRR, 2021

2020
A structure-preserving FEM for the uniaxially constrained \(\mathbf{Q}\) -tensor model of nematic liquid crystals.
Numerische Mathematik, 2020

Discontinuous Galerkin approach to large bending deformation of a bilayer plate with isometry constraint.
J. Comput. Phys., 2020

Equilibrium analysis of an immersed rigid leaflet by the virtual element method.
CoRR, 2020

Quantitative Stability and Error Estimates for Optimal Transport Plans.
CoRR, 2020

Linear and nonlinear fractional elliptic problems.
Proceedings of the 75 Years of Mathematics of Computation, 2020

2019
Convergent Two-Scale Filtered Scheme for the Monge-Ampère Equation.
SIAM J. Sci. Comput., 2019

On the Dynamics of Ferrofluids: Global Weak Solutions to the Rosensweig System and Rigorous Convergence to Equilibrium.
SIAM J. Math. Anal., 2019

Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation.
Numerische Mathematik, 2019

Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution.
Math. Comput., 2019

Tensor FEM for Spectral Fractional Diffusion.
Found. Comput. Math., 2019

DG Approach to Large Bending Plate Deformations with Isometry Constraint.
CoRR, 2019

Linear and Nonlinear Fractional Diffusion.
CoRR, 2019

Finite Element Methods for the Laplace-Beltrami Operator.
CoRR, 2019

2018
Optimal Pointwise Error Estimates for Two-Scale Methods for the Monge-Ampère Equation.
SIAM J. Numer. Anal., 2018

Unconditional Stability of Semi-Implicit Discretizations of Singular Flows.
SIAM J. Numer. Anal., 2018

The Ericksen model of liquid crystals with colloidal and electric effects.
J. Comput. Phys., 2018

Modeling and simulation of thermally actuated bilayer plates.
J. Comput. Phys., 2018

Discrete ABP Estimate and Convergence Rates for Linear Elliptic Equations in Non-divergence Form.
Found. Comput. Math., 2018

Numerical methods for fractional diffusion.
Comput. Vis. Sci., 2018

2017
A Finite Element Method for Nematic Liquid Crystals with Variable Degree of Orientation.
SIAM J. Numer. Anal., 2017

Convergence and optimality of \({\mathbf {hp}}\) -AFEM.
Numerische Mathematik, 2017

On p-robust saturation for hp-AFEM.
Comput. Math. Appl., 2017

2016
A PDE Approach to Space-Time Fractional Parabolic Problems.
SIAM J. Numer. Anal., 2016

Adaptive Spectral Galerkin Methods with Dynamic Marking.
SIAM J. Numer. Anal., 2016

Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications.
Numerische Mathematik, 2016

Contraction property of adaptive hybridizable discontinuous Galerkin methods.
Math. Comput., 2016

Multilevel methods for nonuniformly elliptic operators and fractional diffusion.
Math. Comput., 2016

Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems.
J. Sci. Comput., 2016

High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates.
Found. Comput. Math., 2016

2015
Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis.
SIAM J. Numer. Anal., 2015

Max-norm estimates for Stokes and Navier-Stokes approximations in convex polyhedra.
Numerische Mathematik, 2015

A total variation diminishing interpolation operator and applications.
Math. Comput., 2015

A PDE approach to fractional diffusion: A posteriori error analysis.
J. Comput. Phys., 2015

A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis.
Found. Comput. Math., 2015

2014
Discrete Total Variation Flows without Regularization.
SIAM J. Numer. Anal., 2014

Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions.
SIAM J. Control. Optim., 2014

Adaptive Fourier-Galerkin methods.
Math. Comput., 2014

Contraction and optimality properties of adaptive Legendre-Galerkin methods: The one-dimensional case.
Comput. Math. Appl., 2014

2013
Time-Discrete Higher-Order ALE Formulations: Stability.
SIAM J. Numer. Anal., 2013

Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients.
SIAM J. Numer. Anal., 2013

Time-discrete higher order ALE formulations: a priori error analysis.
Numerische Mathematik, 2013

Two-Step Greedy Algorithm for Reduced Order Quadratures.
J. Sci. Comput., 2013

2012
Optimal multilevel methods for graded bisection grids.
Numerische Mathematik, 2012

Convergence Rates of AFEM with H -1 Data.
Found. Comput. Math., 2012

2011
Preconditioning a class of fourth order problems by operator splitting.
Numerische Mathematik, 2011

Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence.
Numerische Mathematik, 2011

AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property.
Math. Comput., 2011

2010
Geometrically Consistent Mesh Modification.
SIAM J. Numer. Anal., 2010

Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method.
SIAM J. Numer. Anal., 2010

A posteriori error analysis for a class of integral equations and variational inequalities.
Numerische Mathematik, 2010

A hybrid variational front tracking-level set mesh generator for problems exhibiting large deformations and topological changes.
J. Comput. Phys., 2010

Parametric FEM for geometric biomembranes.
J. Comput. Phys., 2010

2009
Optimal order a posteriori error estimates for a class of Runge-Kutta and Galerkin methods.
Numerische Mathematik, 2009

2008
A Variational Shape Optimization Approach for Image Segmentation with a Mumford--Shah Functional.
SIAM J. Sci. Comput., 2008

Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method.
SIAM J. Numer. Anal., 2008

2006
Pointwise a posteriori error estimates for monotone semi-linear equations.
Numerische Mathematik, 2006

A posteriori error analysis for higher order dissipative methods for evolution problems.
Numerische Mathematik, 2006

A posteriori error estimates for the Crank-Nicolson method for parabolic equations.
Math. Comput., 2006

2005
Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems.
SIAM J. Numer. Anal., 2005

The Gauge-Uzawa Finite Element Method. Part I: The Navier-Stokes Equations.
SIAM J. Numer. Anal., 2005

Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs.
SIAM J. Numer. Anal., 2005

A Posteriori Error Analysis for the Mean Curvature Flow of Graphs.
SIAM J. Numer. Anal., 2005

Error estimates for semi-discrete gauge methods for the Navier-Stokes equations.
Math. Comput., 2005

2004
Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation.
SIAM J. Numer. Anal., 2004

Optimal relaxation parameter for the Uzawa Method.
Numerische Mathematik, 2004

2003
Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems.
SIAM J. Numer. Anal., 2003

Pointwise a posteriori error control for elliptic obstacle problems.
Numerische Mathematik, 2003

Local problems on stars: A posteriori error estimators, convergence, and performance.
Math. Comput., 2003

2002
Convergence of Adaptive Finite Element Methods.
SIAM Rev., 2002

An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition.
SIAM J. Numer. Anal., 2002

Small data oscillation implies the saturation assumption.
Numerische Mathematik, 2002

Positivity preserving finite element approximation.
Math. Comput., 2002

2000
Data Oscillation and Convergence of Adaptive FEM.
SIAM J. Numer. Anal., 2000

Residual type a posteriori error estimates for elliptic obstacle problems.
Numerische Mathematik, 2000

A posteriori error estimation and adaptivity for degenerate parabolic problems.
Math. Comput., 2000

1991
An Adaptive Finite Element Method for Two-Phase Stefan Problems in Two Space Dimensions. II: Implementation and Numerical Experiments.
SIAM J. Sci. Comput., 1991


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