Martin Vohralík

ORCID

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 40

Top Venues

CoRR

Math. Comput.

SIAM J. Numer. Anal.

Numerische Mathematik

University of Paris-Sud, Orsay, France (PHD)

Education History

University of Paris-Sud, Orsay, France

PHD

Publications

Ani Miraçi, Jan Papez, Martin Vohralík, Ivan Yotov
A-posteriori-steered p-robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems. CoRR (2024)
Annalisa Buffa, Ondine Chanon, Denise Grappein, Rafael Vázquez Hernández, Martin Vohralík
An equilibrated flux a posteriori error estimator for defeaturing problems. CoRR (2023)
Ibtihel Ben Gharbia, Joëlle Ferzly, Martin Vohralík, Soleiman Yousef
Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality. Comput. Math. Appl. 133 (2023)
Manu Jayadharan, Michel Kern, Martin Vohralík, Ivan Yotov
A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations. SIAM J. Numer. Anal. 61 (2) (2023)
Théophile Chaumont-Frelet, Martin Vohralík
$p$ -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. 61 (4) (2023)
K. Mitra, Martin Vohralík
A posteriori error estimates for the Richards equation. Math. Comput. 93 (347) (2023)
Ibtihel Ben Gharbia, Joëlle Ferzly, Martin Vohralík, Soleiman Yousef
Semismooth and smoothing Newton methods for nonlinear systems with complementarity constraints: Adaptivity and inexact resolution. J. Comput. Appl. Math. 420 (2023)
Théophile Chaumont-Frelet, Martin Vohralík
A stable local commuting projector and optimal hp approximation estimates in H(curl). CoRR (2022)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem. Math. Comput. 91 (333) (2022)
Gregor Gantner, Martin Vohralík
Inexpensive polynomial-degree- and number-of-hanging-nodes-robust equilibrated flux a posteriori estimates for isogeometric analysis. CoRR (2022)
Jan Papez, Martin Vohralík
Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations. Numer. Algorithms 89 (1) (2022)
Théophile Chaumont-Frelet, Martin Vohralík
Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex. CoRR (2022)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. CoRR (2021)
Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. Numerische Mathematik 147 (3) (2021)
Ani Miraçi, Jan Papez, Martin Vohralík
Contractive Local Adaptive Smoothing Based on Dörfler's Marking in A-Posteriori-Steered p-Robust Multigrid Solvers. Comput. Methods Appl. Math. 21 (2) (2021)
Clément Cancès, Flore Nabet, Martin Vohralík
Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations. Math. Comput. 90 (328) (2021)
K. Mitra, Martin Vohralík
A posteriori error estimates for the Richards equation. CoRR (2021)
Ani Miraçi, Jan Papez, Martin Vohralík
A-Posteriori-Steered p-Robust Multigrid with Optimal Step-Sizes and Adaptive Number of Smoothing Steps. SIAM J. Sci. Comput. 43 (5) (2021)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. Numerische Mathematik 148 (3) (2021)
Théophile Chaumont-Frelet, Martin Vohralík
$p$-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)
Manu Jayadharan, Michel Kern, Martin Vohralík, Ivan Yotov
A space-time multiscale mortar mixed finite element method for parabolic equations. CoRR (2021)
Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters. Math. Comput. 89 (326) (2020)
Gouranga Mallik, Martin Vohralík, Soleiman Yousef
Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers. J. Comput. Appl. Math. 366 (2020)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron. CoRR (2020)
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations. CoRR (2020)
Ani Miraçi, Jan Papez, Martin Vohralík
A Multilevel Algebraic Error Estimator and the Corresponding Iterative Solver with p-Robust Behavior. SIAM J. Numer. Anal. 58 (5) (2020)
Alexandre Ern, Martin Vohralík
and H(div) polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions. Math. Comput. 89 (322) (2020)
Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík
Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. CoRR (2020)
Jad Dabaghi, Vincent Martin, Martin Vohralík
Adaptive Inexact Semismooth Newton Methods for the Contact Problem Between Two Membranes. J. Sci. Comput. 84 (2) (2020)
Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters. CoRR (2020)
Alexandre Ern, Thirupathi Gudi, Iain Smears, Martin Vohralík
Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div). CoRR (2019)
Martin Cermák, Frédéric Hecht, Zuqi Tang, Martin Vohralík
Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem. Numerische Mathematik 138 (4) (2018)
Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík
A Posteriori Stopping Criteria for Optimized Schwarz Domain Decomposition Algorithms in Mixed Formulations. Comput. Methods Appl. Math. 18 (3) (2018)
Jan Papez, Zdenek Strakos, Martin Vohralík
Estimating and localizing the algebraic and total numerical errors using flux reconstructions. Numerische Mathematik 138 (3) (2018)
Patrik Daniel, Alexandre Ern, Iain Smears, Martin Vohralík
An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor. Comput. Math. Appl. 76 (5) (2018)
Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework. Numerische Mathematik 140 (4) (2018)
Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations. SIAM J. Numer. Anal. 55 (5) (2017)
Alexandre Ern, Iain Smears, Martin Vohralík
Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems. SIAM J. Numer. Anal. 55 (6) (2017)
Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models. J. Comput. Phys. 307 (2016)
Vít Dolejsí, Alexandre Ern, Martin Vohralík
hp-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems. SIAM J. Sci. Comput. 38 (5) (2016)
Vít Dolejsí, Ivana Sebestová, Martin Vohralík
Algebraic and Discretization Error Estimation by Equilibrated Fluxes for Discontinuous Galerkin Methods on Nonmatching Grids. J. Sci. Comput. 64 (1) (2015)
Alexandre Ern, Martin Vohralík
Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations. SIAM J. Numer. Anal. 53 (2) (2015)
Daniele A. Di Pietro, Martin Vohralík, Soleiman Yousef
Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem. Math. Comput. 84 (291) (2015)
Daniele A. Di Pietro, Eric Flauraud, Martin Vohralík, Soleiman Yousef
A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media. J. Comput. Phys. 276 (2014)
Daniele A. Di Pietro, Martin Vohralík, Soleiman Yousef
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. 68 (12) (2014)
Clément Cancès, Iuliu Sorin Pop, Martin Vohralík
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow. Math. Comput. 83 (285) (2014)
Gergina Pencheva, Martin Vohralík, Mary F. Wheeler, Tim Wildey
Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling. SIAM J. Numer. Anal. 51 (1) (2013)
Vít Dolejsí, Alexandre Ern, Martin Vohralík
A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems. SIAM J. Numer. Anal. 51 (2) (2013)
Alexandre Ern, Martin Vohralík
Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs. SIAM J. Sci. Comput. 35 (4) (2013)
Antti Hannukainen, Rolf Stenberg, Martin Vohralík
A unified framework for a posteriori error estimation for the Stokes problem. Numerische Mathematik 122 (4) (2012)
Martin Vohralík
Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients. J. Sci. Comput. 46 (3) (2011)
Alexandre Ern, Annette F. Stephansen, Martin Vohralík
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems. J. Comput. Appl. Math. 234 (1) (2010)
Pavel Jiránek, Zdenek Strakos, Martin Vohralík
A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers. SIAM J. Sci. Comput. 32 (3) (2010)
Martin Vohralík
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods. Math. Comput. 79 (272) (2010)
Alexandre Ern, Martin Vohralík
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation. SIAM J. Numer. Anal. 48 (1) (2010)
Martin Vohralík
Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods. Numerische Mathematik 111 (1) (2008)
Martin Vohralík
A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 45 (4) (2007)
Robert Eymard, Danielle Hilhorst, Martin Vohralík
A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Numerische Mathematik 105 (1) (2006)
Jirí Maryska, Otto Severýn, Martin Vohralík
Mixed-Hybrid FEM Discrete Fracture Network Model of the Fracture Flow. International Conference on Computational Science (3) (2002)

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Publication Activity (10 Years)

Top Topics

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Martin Vohralík