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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
Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, 2014, 69 (4), pp.701-730. ⟨10.2516/ogst/2013158⟩
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hal-00783068v1
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Equivalence of local-best and global-best approximations in H(curl)
Théophile Chaumont-Frelet
,
Martin Vohralík
Article dans une revue
hal-02736200v2
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A posteriori error estimation based on potential and flux reconstruction for the heat equation
Alexandre Ern
,
Martin Vohralík
Article dans une revue
hal-00383692v1
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Semismooth and smoothing Newton methods for nonlinear systems with complementarity constraints: Adaptivity and inexact resolution
Ibtihel Ben Gharbia
,
Joëlle Ferzly
,
Martin Vohralík
,
Soleiman Yousef
Article dans une revue
hal-03355116v2
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Polynomial-degree-robust a posteriori error estimation for Maxwell's equations
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
ICOSAHOM 2021 - International Conference on Spectral High Order Methods, Jul 2021, Vienna, Austria
Communication dans un congrès
hal-03403944v1
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An adaptive $hp$-refinement strategy with computable guaranteed bound on the error reduction factor
Patrik Daniel
,
Alexandre Ern
,
Iain Smears
,
Martin Vohralík
Article dans une revue
hal-01666763v2
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Discrete $p$-robust H(div)-liftings and a posteriori estimates for elliptic problems with $H^{-1}$ source terms
Alexandre Ern
,
Iain Smears
,
Martin Vohralík
Article dans une revue
hal-01377007v1
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A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems
Vít Dolejší
,
Alexandre Ern
,
Martin Vohralík
Article dans une revue
hal-00652979v2
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Robust a posteriori error control and adaptivity for multiscale, multinumerics, and mortar coupling
Gergina Pencheva
,
Martin Vohralík
,
Mary Wheeler
,
Tim Wildey
Article dans une revue
hal-00467738v2
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Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem
Martin Čermák
,
Frédéric Hecht
,
Zuqi Tang
,
Martin Vohralík
Article dans une revue
hal-01097662v4
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A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations
Sarah Ali Hassan
,
Caroline Japhet
,
Michel Kern
,
Martin Vohralík
Article dans une revue
hal-01529532v3
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Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
Article dans une revue
hal-02631319v1
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Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations
Eric Cancès
,
Geneviève Dusson
,
Yvon Maday
,
Benjamin Stamm
,
Martin Vohralík
Article dans une revue
hal-01194364v3
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A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations
Eric Cancès
,
Geneviève Dusson
,
Yvon Maday
,
Benjamin Stamm
,
Martin Vohralík
Article dans une revue
hal-00994568v1
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Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal $hp$ approximation estimates in $H$(div)
Alexandre Ern
,
Thirupathi Gudi
,
Iain Smears
,
Martin Vohralík
Article dans une revue
hal-02268960v4
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Adaptive inexact Newton methods for discretizations of nonlinear diffusion PDEs. II. Applications
Alexandre Ern
,
Martin Vohralík
2012
Rapport
hal-00681426v1
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Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the De Rham complex
Théophile Chaumont-Frelet
,
Martin Vohralík
2023
Pré-publication, Document de travail
hal-03749682v1
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Four closely related equilibrated flux reconstructions for nonconforming finite elements
Alexandre Ern
,
Martin Vohralík
Article dans une revue
hal-00750777v1
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Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality
Ibtihel Ben Gharbia
,
Joëlle Ferzly
,
Martin Vohralík
,
Soleiman Yousef
Article dans une revue
hal-03696024v2
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Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
Alexandre Ern
,
Annette Stephansen
,
Martin Vohralík
Article dans une revue
hal-00193540v3
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Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters
Eric Cancès
,
Geneviève Dusson
,
Yvon Maday
,
Benjamin Stamm
,
Martin Vohralík
Article dans une revue
hal-02127954v3
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$hp$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems
Vít Dolejší
,
Alexandre Ern
,
Martin Vohralík
Article dans une revue
hal-01165187v3
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Sharp algebraic and total a posteriori error bounds for $h$ and $p$ finite elements via a multilevel approach. Recovering mass balance in any situation
Jan Papež
,
Ulrich Rüde
,
Martin Vohralík
,
Barbara I Wohlmuth
Article dans une revue
hal-01662944v5
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Guaranteed contraction of adaptive inexact $hp$-refinement strategies with realistic stopping criteria
Patrik Daniel
,
Martin Vohralík
Article dans une revue
hal-02486433v3
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A perturbation-method-based post-processing for the planewave discretization of Kohn–Sham models
Eric Cancès
,
Geneviève Dusson
,
Yvon Maday
,
Benjamin Stamm
,
Martin Vohralík
Article dans une revue
hal-01140818v2
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Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework
Eric Cancès
,
Geneviève Dusson
,
Yvon Maday
,
Benjamin Stamm
,
Martin Vohralík
Article dans une revue
hal-01483461v3
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Adaptive regularization for the Richards equation
François Févotte
,
Ari Rappaport
,
Martin Vohralík
2023
Pré-publication, Document de travail
hal-04266827v1
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An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
Clément Cancès
,
Iuliu Sorin Pop
,
Martin Vohralík
Article dans une revue
hal-00623209v2
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A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations
Sarah Ali Hassan
,
Caroline Japhet
,
Martin Vohralík
Article dans une revue
hal-01586862v3
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Polynomial-degree-robust a posteriori error estimation for Maxwell's equations
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
WCCM & ECCOMAS Congress 2020 - 14th World Congress in Computational Mechanics and ECCOMAS Congress, Jan 2021, Paris, France
Communication dans un congrès
hal-03403840v1
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