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hal-01377086v1  Pré-publication, Document de travail
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
2016
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hal-01148476v1  Pré-publication, Document de travail
Patrick Ciarlet, Martin Vohralík. Robust a posteriori error control for transmission problems with sign-changing coefficients using localization of dual norms
2015
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hal-01332481v2  Pré-publication, Document de travail
Jan Blechta, Josef Málek, Martin Vohralík. Localization of the $W^{-1,q}$ norm for local a posteriori efficiency
2016
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hal-00750777v1  Article dans une revue
Alexandre Ern, Martin Vohralík. Four closely related equilibrated flux reconstructions for nonconforming finite elements
Comptes Rendus Mathématique. Académie des Sciences. Paris, Elsevier, 2013, 351 (1-2), pp.77-80. <10.1016/j.crma.2013.01.001>
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hal-01140818v2  Article dans une revue
Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík. A perturbation-method-based post-processing for the planewave discretization of Kohn–Sham models
Journal of Computational Physics, Elsevier, 2016, 307, pp.446-459. <10.1016/j.jcp.2015.12.012>
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hal-00839487v2  Article dans une revue
Daniele Antonio Di Pietro, Eric Flauraud, Martin Vohralík, Soleiman Yousef. A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media
Journal of Computational Physics, Elsevier, 2014, 276, pp.163-187. <10.1016/j.jcp.2014.06.061>
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hal-00193540v3  Article dans une revue
Alexandre Ern, Annette Stephansen, Martin Vohralík. Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
Journal of Computational and Applied Mathematics, Elsevier, 2009, 234 (1), pp.114-130. <10.1016/j.cam.2009.12.009>
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hal-01489721v1  Pré-publication, Document de travail
Alexandre Ern, Iain Smears, Martin Vohralík. Equilibrated flux a posteriori error estimates in $L^2(H^1)$-norms for high-order discretizations of parabolic problems
2017
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hal-01532195v1  Pré-publication, Document de travail
Martin Vohralík, Soleiman Yousef. A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows
2017
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hal-01312430v1  Pré-publication, Document de travail
Jan Papež, Zdeněk Strakoš, Martin Vohralík. Estimating and localizing the algebraic and total numerical errors using flux reconstructions
2016
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hal-00681426v1  Rapport
Alexandre Ern, Martin Vohralík. Adaptive inexact Newton methods for discretizations of nonlinear diffusion PDEs. II. Applications
2012
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hal-00497394v3  Article dans une revue
Martin Vohralík, Barbara Wohlmuth. Mixed finite element methods: implementation with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2013, 23 (5), pp.803-838. <10.1142/S0218202512500613>
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hal-01422204v1  Pré-publication, Document de travail
Alexandre Ern, Martin Vohralík. Stable broken H1 and H(div) polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions
2016
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hal-00614633v2  Article dans une revue
Martin Vohralík, Barbara Wohlmuth. From face to element unknowns by local static condensation with application to nonconforming finite elements
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2013, 253, pp.517-529. <10.1016/j.cma.2012.08.013>
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tel-00008451v1  Thèse
Martin Vohralík. Numerical methods for nonlinear elliptic and parabolic equations. Application to flow problems in porous and fractured media
Modeling and Simulation. Université Paris Sud - Paris XI, 2004. English
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hal-00453952v1  Pré-publication, Document de travail
Danielle Hilhorst, Martin Vohralík. A posteriori error estimates for combined finite volume-finite element discretizations of reactive transport equations on nonmatching grids
2010
hal-00114646v1  Article dans une revue
Martin Vohralík. Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
Modelisation Mathématique et Analyse Numérique (M2AN), 2006, 40, pp.367-391
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hal-00856437v3  Article dans une revue
Daniele Antonio Di Pietro, Martin Vohralík, Soleiman Yousef. An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphasecompositional flows in porous media
Computer and mathematics with applications, Elsevier, 2014, Volume 68 (Issue 12, Part B), pp.2331-2347. <10.1016/j.camwa.2014.08.008>
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hal-01483461v1  Pré-publication, Document de travail
Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík. Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework
2017
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hal-01097662v3  Pré-publication, Document de travail
Martin Čermák, Frédéric Hecht, Zuqi Tang, Martin Vohralík. Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem
2017
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hal-01377007v1  Article dans une revue
Alexandre Ern, Iain Smears, Martin Vohralík. Discrete $p$-robust H(div)-liftings and a posteriori estimates for elliptic problems with $H^{-1}$ source terms
Calcolo, Springer Verlag, 2017, <10.1007/s10092-017-0217-4>
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hal-00783068v1  Article dans une revue
Daniele Antonio Di Pietro, Martin Vohralík. A review of recent advances in discretization methods, a posteriori error analysis, and adaptive algorithms for numerical modeling in geosciences
Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, Institut Français du Pétrole, 2014, 69 (4), pp.701-730. <10.2516/ogst/2013158>
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hal-00652979v2  Article dans une revue
Vít Dolejší, Alexandre Ern, Martin Vohralík. A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2013, 51 (2), pp.773-793. <10.1137/110859282>
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hal-00326650v2  Article dans une revue
Pavel Jiranek, Zdenek Strakos, Martin Vohralík. A posteriori error estimates including algebraic error: computable upper bounds and stopping criteria for iterative solvers
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2010, 32 (3), pp.1567-1590. <10.1137/08073706X>
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hal-01194364v3  Article dans une revue
Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík. Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2017
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hal-01165187v3  Article dans une revue
Vít Dolejší, Alexandre Ern, Martin Vohralík. hp-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2016, 38 (5), pp.A3220-A3246
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hal-00681422v2  Article dans une revue
Alexandre Ern, Martin Vohralík. Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2013, 35 (4), pp.A1761-A1791. <10.1137/120896918>
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hal-00467738v2  Article dans une revue
Gergina Pencheva, Martin Vohralík, Mary Wheeler, Tim Wildey. Robust a posteriori error control and adaptivity for multiscale, multinumerics, and mortar coupling
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2013, 51 (1), pp.526-554. <10.1137/110839047>
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