Martin Vohralík

Orcid: 0000-0002-8838-7689

According to our database1, Martin Vohralík authored at least 57 papers between 2002 and 2024.

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

Timeline

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Bibliography

2024
A stable local commuting projector and optimal hp approximation estimates in $\varvec{H}(\textrm{curl})$.
Numerische Mathematik, December, 2024

An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems.
SIAM J. Numer. Anal., 2024

A-posteriori-steered p-robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems.
CoRR, 2024

2023
A posteriori error estimates for the Richards equation.
Math. Comput., October, 2023

\(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem.
SIAM J. Numer. Anal., August, 2023

A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations.
SIAM J. Numer. Anal., April, 2023

Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality.
Comput. Math. Appl., March, 2023

Semismooth and smoothing Newton methods for nonlinear systems with complementarity constraints: Adaptivity and inexact resolution.
J. Comput. Appl. Math., 2023

An equilibrated flux a posteriori error estimator for defeaturing problems.
CoRR, 2023

2022
Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations.
Numer. Algorithms, 2022

Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem.
Math. Comput., 2022

A stable local commuting projector and optimal hp approximation estimates in H(curl).
CoRR, 2022

Inexpensive polynomial-degree- and number-of-hanging-nodes-robust equilibrated flux a posteriori estimates for isogeometric analysis.
CoRR, 2022

Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex.
CoRR, 2022

2021
A-Posteriori-Steered p-Robust Multigrid with Optimal Step-Sizes and Adaptive Number of Smoothing Steps.
SIAM J. Sci. Comput., 2021

Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver.
Numerische Mathematik, 2021

On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation.
Numerische Mathematik, 2021

Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations.
Math. Comput., 2021

$p$-robust equilibrated flux reconstruction in ${\boldsymbol H}(\mathrm{curl})$ based on local minimizations. Application to a posteriori analysis of the curl-curl problem.
CoRR, 2021

Contractive Local Adaptive Smoothing Based on Dörfler's Marking in A-Posteriori-Steered p-Robust Multigrid Solvers.
Comput. Methods Appl. Math., 2021

2020
A Multilevel Algebraic Error Estimator and the Corresponding Iterative Solver with p-Robust Behavior.
SIAM J. Numer. Anal., 2020

Stable broken H<sup>1</sup> and H(div) polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions.
Math. Comput., 2020

Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters.
Math. Comput., 2020

Adaptive Inexact Semismooth Newton Methods for the Contact Problem Between Two Membranes.
J. Sci. Comput., 2020

Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers.
J. Comput. Appl. Math., 2020

Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations.
CoRR, 2020

Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron.
CoRR, 2020

2019
Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div).
CoRR, 2019

2018
Estimating and localizing the algebraic and total numerical errors using flux reconstructions.
Numerische Mathematik, 2018

Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem.
Numerische Mathematik, 2018

Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework.
Numerische Mathematik, 2018

A Posteriori Stopping Criteria for Optimized Schwarz Domain Decomposition Algorithms in Mixed Formulations.
Comput. Methods Appl. Math., 2018

An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor.
Comput. Math. Appl., 2018

2017
Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems.
SIAM J. Numer. Anal., 2017

Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations.
SIAM J. Numer. Anal., 2017

2016
hp-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems.
SIAM J. Sci. Comput., 2016

A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models.
J. Comput. Phys., 2016

2015
Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations.
SIAM J. Numer. Anal., 2015

Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem.
Math. Comput., 2015

Algebraic and Discretization Error Estimation by Equilibrated Fluxes for Discontinuous Galerkin Methods on Nonmatching Grids.
J. Sci. Comput., 2015

2014
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow.
Math. Comput., 2014

A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media.
J. Comput. Phys., 2014

An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media.
Comput. Math. Appl., 2014

2013
Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs.
SIAM J. Sci. Comput., 2013

Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling.
SIAM J. Numer. Anal., 2013

A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems.
SIAM J. Numer. Anal., 2013

2012
A unified framework for a posteriori error estimation for the Stokes problem.
Numerische Mathematik, 2012

2011
Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients.
J. Sci. Comput., 2011

2010
A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers.
SIAM J. Sci. Comput., 2010

A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation.
SIAM J. Numer. Anal., 2010

Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods.
Math. Comput., 2010

Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems.
J. Comput. Appl. Math., 2010

2008
Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods.
Numerische Mathematik, 2008

2007
A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations.
SIAM J. Numer. Anal., 2007

2006
A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems.
Numerische Mathematik, 2006

2004
Numerical methods for nonlinear elliptic and parabolic equations. Application to flow problems in porous and fractured media. (Méthodes numériques pour des équations elliptiques et paraboliques non linéaires. Application à des problèmes d'écoulement en milieux poreux et fracturés).
PhD thesis, 2004

2002
Mixed-Hybrid FEM Discrete Fracture Network Model of the Fracture Flow.
Proceedings of the Computational Science - ICCS 2002, 2002


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