Martin Vohralík
Orcid: 0000-0002-8838-7689
According to our database1,
Martin Vohralík
authored at least 54 papers
between 2002 and 2023.
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Bibliography
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
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
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
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
Proceedings of the Computational Science - ICCS 2002, 2002