Martin Vohralík

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Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations

Clément Cancès, Flore Nabet, Martin Vohralík, 2020, Math. Comput..

Adaptive Inexact Semismooth Newton Methods for the Contact Problem Between Two Membranes

Martin Vohralík, Jad Dabaghi, Vincent Martin, 2020, Journal of Scientific Computing.

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)

Martin Vohralík, Martin Vohralík, 2004 .

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

Martin Vohralík, Alexandre Ern, Thirupathi Gudi, 2019, ArXiv.

A Review of Recent Advances in Discretization Methods, a Posteriori Error Analysis, and Adaptive Algorithms for Numerical Modeling in Geosciences

Daniele Antonio Di Pietro, Martin Vohralík, M. Vohralík, 2014 .

Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations

Martin Vohralík, Alexandre Ern, A. Ern, 2015, SIAM J. Numer. Anal..

A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems

Martin Vohralík, Alexandre Ern, Vít Dolejsí, 2013, SIAM J. Numer. Anal..

A Multilevel Algebraic Error Estimator and the Corresponding Iterative Solver with p-Robust Behavior

Martin Vohralík, Ani Miraçi, Jan Papež, 2020, SIAM J. Numer. Anal..

Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients

Martin Vohralík, 2011, J. Sci. Comput..

An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow

Clément Cancès, Martin Vohralík, Iuliu Sorin Pop, 2013, Math. Comput..

An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor

Martin Vohralík, Alexandre Ern, Iain Smears, 2017, Comput. Math. Appl..

Algebraic and Discretization Error Estimation by Equilibrated Fluxes for Discontinuous Galerkin Methods on Nonmatching Grids

Martin Vohralík, Vít Dolejsí, Ivana Sebestová, 2015, J. Sci. Comput..

Mixed-Hybrid FEM Discrete Fracture Network Model of the Fracture Flow

Martin Vohralík, Jirí Maryska, Otto Severýn, 2002, International Conference on Computational Science.

A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers

Martin Vohralík, Pavel Jiránek, Zdenek Strakos, 2010, SIAM J. Sci. Comput..

A unified framework for a posteriori error estimation for the Stokes problem

Martin Vohralík, Antti Hannukainen, Rolf Stenberg, 2012, Numerische Mathematik.

Adaptive regularization, linearization, and numerical solution of unsteady nonlinear problems

Martin Vohralík, 2012 .

Mixed-Hybrid FEM Discrete Fracture Network Model of the Fracture Flow

Martin Vohralík, Otto Severýn, Jiri Maryska, 2002 .

A Posteriori Stopping Criteria for Optimized Schwarz Domain Decomposition Algorithms in Mixed Formulations

Martin Vohralík, Michel Kern, Caroline Japhet, 2018, Comput. Methods Appl. Math..

A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations

Martin Vohralík, M. Vohralík, 2007, SIAM J. Numer. Anal..

Estimating and localizing the algebraic and total numerical errors using flux reconstructions

Martin Vohralík, Zdenek Strakos, J. Papez, 2018, Numerische Mathematik.

Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework

Martin Vohralík, Benjamin Stamm, Yvon Maday, 2018, Numerische Mathematik.

Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters

Martin Vohralík, Benjamin Stamm, Yvon Maday, 2020, Math. Comput..

A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems

Martin Vohralík, Robert Eymard, Danielle Hilhorst, 2006, Numerische Mathematik.

Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods

Martin Vohralík, M. Vohralík, 2008, Numerische Mathematik.

Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs

Martin Vohralík, Alexandre Ern, A. Ern, 2013, SIAM J. Sci. Comput..

A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models

Martin Vohralík, Benjamin Stamm, Yvon Maday, 2016, J. Comput. Phys..

A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media

Martin Vohralík, Eric Flauraud, Daniele A. Di Pietro, 2014, J. Comput. Phys..

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

Martin Vohralík, Daniele A. Di Pietro, Soleiman Yousef, 2014, Math. Comput..

Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers

Martin Vohralík, Gouranga Mallik, Soleiman Yousef, 2020, J. Comput. Appl. Math..

Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations

Martin Vohralík, Benjamin Stamm, Yvon Maday, 2017, SIAM J. Numer. Anal..

Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods

Martin Vohralík, M. Vohralík, 2010, Math. Comput..

Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem

Martin Vohralík, Frédéric Hecht, Martin Cermák, 2018, Numerische Mathematik.

Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems

Martin Vohralík, Alexandre Ern, Annette F. Stephansen, 2010, J. Comput. Appl. Math..

hp-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems

Martin Vohralík, Alexandre Ern, Vít Dolejsí, 2016, SIAM J. Sci. Comput..

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

Martin Vohralík, Daniele A. Di Pietro, Soleiman Yousef, 2014, Comput. Math. Appl..

Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems

Martin Vohralík, Alexandre Ern, Iain Smears, 2016, SIAM J. Numer. Anal..

A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation

Martin Vohralík, Alexandre Ern, A. Ern, 2010, SIAM J. Numer. Anal..

Stable broken H1 and H(div) polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions

Martin Vohralík, Alexandre Ern, 2020, Math. Comput..

Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling

Martin Vohralík, Gergina Pencheva, Mary F. Wheeler, 2013, SIAM J. Numer. Anal..

Equivalence of local-best and global-best approximations in H(curl)

Martin Vohralík, Théophile Chaumont-Frelet, M. Vohralík, 2020, Calcolo.

Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations

Martin Vohralík, Jan Papež, 2022, Numer. Algorithms.

A-Posteriori-Steered p-Robust Multigrid with Optimal Step-Sizes and Adaptive Number of Smoothing Steps

Martin Vohralík, Ani Miraçi, Jan Papež, 2021, SIAM J. Sci. Comput..

On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation pdf

Martin Vohralík, Alexandre Ern, Théophile Chaumont-Frelet, 2019, Numerische Mathematik.

Guaranteed and robust a posteriori error estimates for singularly perturbed reaction–diffusion problems

Martin Vohralík, Radek Fučík, Ibrahim Cheddadi, 2009 .

A posteriori error estimates for combined finite volume–finite element discretizations of reactive transport equations on nonmatching grids

Martin Vohralík, Danielle Hilhorst, D. Hilhorst, 2011 .

A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows

Martin Vohralík, Soleiman Yousef, M. Vohralík, 2017 .

Combined Nonconforming/Mixed-hybrid Finite Element-Finite Volume Scheme for Degenerate Parabolic Problems

Martin Vohralík, Robert Eymard, Danielle Hilhorst, 2004 .

A posteriori error estimation in the conforming finite element method based on its local conservativity and using local minimization

Martin Vohralík, 2008 .

Post-processing of the planewave approximation of Schrödinger equations. Part I: linear operators

Martin Vohralík, Benjamin Stamm, Yvon Maday, 2018, IMA Journal of Numerical Analysis.

Equivalence between mixed finite element and multi-point finite volume methods

Martin Vohralík, 2004 .

Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients

Martin Vohralík, Patrick Ciarlet, P. Ciarlet, 2018, ESAIM: Mathematical Modelling and Numerical Analysis.

Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model

Martin Vohralík, Otto Severýn, J. Maryska, 2005 .

A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations

Martin Vohralík, Caroline Japhet, Sarah Ali Hassan, 2018 .

Adaptive inexact Newton methods for discretizations of nonlinear diffusion PDEs. II. Applications

Martin Vohralík, Alexandre Ern, A. Ern, 2012 .

A combined finite volume–finite element scheme for the discretization of strongly nonlinear convection–diffusion–reaction problems on nonmatching grids

Martin Vohralík, Robert Eymard, Danielle Hilhorst, 2009 .

Mixed and nonconforming finite element methods on a system of polygons

Martin Vohralík, Otto Severýn, Jiří Maryška, 2007 .

A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrodinger equations

Martin Vohralík, Benjamin Stamm, Yvon Maday, 2014 .

Space–time domain decomposition for two-phase flow between different rock types

Martin Vohralík, Elyes Ahmed, Michel Kern, 2019, Computer Methods in Applied Mechanics and Engineering.

Robust a posteriori error control for transmission problems with sign-changing coefficients using localization of dual norms

Martin Vohralík, Patrick Ciarlet, P. Ciarlet, 2015 .

Sharp algebraic and total a posteriori error bounds for h and p finite elements via a multilevel approach. Recovering mass balance in any situation

Martin Vohralík, Ulrich Rüde, Barbara Wohlmuth, 2017 .

Discrete p-robust $$\varvec{H}({{\mathrm{div}}})$$H(div)-liftings and a posteriori estimates for elliptic problems with $$H^{-1}$$H-1 source terms

Martin Vohralík, Alexandre Ern, Iain Smears, 2016 .

On the unilateral contact between membranes. Part 2: a posteriori analysis and numerical experiments

Martin Vohralík, Adel Blouza, Faker Ben Belgacem, 2012 .

A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows

Martin Vohralík, Mary F. Wheeler, M. Wheeler, 2013, Computational Geosciences.

A posteriori error estimates for finite volume and mixed finite element discretizations of convection–diffusion–reaction equations

Martin Vohralík, M. Vohralík, 2007 .

From face to element unknowns by local static condensation with application to nonconforming finite elements

Martin Vohralík, Barbara Wohlmuth, 2013 .

An A Posteriori Error Estimator for a Finite Volume Discretization of the Two-phase Flow

Daniele Antonio Di Pietro, Martin Vohralík, Carole Widmer, 2011 .

Martin Vohralík, Alexandre Ern, 2013 .

Localization of the W-1,q norm for local a posteriori efficiency

Martin Vohralík, Josef Málek, Jan Blechta, 2020, IMA Journal of Numerical Analysis.