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A posteriori error estimation based on potential and flux reconstruction for the heat equation
Alexandre Ern
,
Martin Vohralík
Journal articles
hal-00383692v1
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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
Journal articles
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
Journal articles
hal-01377007v1
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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
Journal articles
hal-03355116v2
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A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems
Vít Dolejší
,
Alexandre Ern
,
Martin Vohralík
Journal articles
hal-00652979v2
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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⟩
Journal articles
hal-00783068v1
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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
Conference papers
hal-03403944v1
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A stable local commuting projector and optimal hp approximation estimates in H(curl)
Théophile Chaumont-Frelet
,
Martin Vohralík
2022
Preprints, Working Papers, ...
hal-03817302v1
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Equivalence of local-best and global-best approximations in H(curl)
Théophile Chaumont-Frelet
,
Martin Vohralík
Journal articles
hal-02736200v2
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A multilevel algebraic error estimator and the corresponding iterative solver with $p$-robust behavior
Ani Miraçi
,
Jan Papež
,
Martin Vohralík
Journal articles
hal-02070981v5
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Mixed finite element methods: implementation with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods
Martin Vohralík
,
Barbara Wohlmuth
Journal articles
hal-00497394v3
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Guaranteed error estimates for finite element discretizations of Helmholtz problems
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
Numerical Waves, Oct 2021, Nice, France
Conference papers
hal-03404014v1
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On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
Journal articles
hal-02202233v3
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p-robust equilibrated flux reconstruction in H(curl) based on local minimizations. Application to a posteriori analysis of the curl-curl problem
Théophile Chaumont-Frelet
,
Martin Vohralík
SIAM Journal on Numerical Analysis, In press
Journal articles
hal-03227570v2
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Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation
Théophile Chaumont-Frelet
,
Alexandre Ern
,
Martin Vohralík
EnuMath 2019 - European Numerical Mathematics and Advanced Applications Conference, Sep 2019, Egmond aan Zee, Netherlands
Conference papers
hal-02321140v1
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Localization of the $W^{-1,q}$ norm for local a posteriori efficiency
Jan Blechta
,
Josef Málek
,
Martin Vohralík
Journal articles
hal-01332481v3
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Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
Martin Vohralík
Modelisation Mathématique et Analyse Numérique (M2AN), 2006, 40, pp.367-391
Journal articles
hal-00114646v1
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Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems
Alexandre Ern
,
Iain Smears
,
Martin Vohralík
Journal articles
hal-01377086v1
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From face to element unknowns by local static condensation with application to nonconforming finite elements
Martin Vohralík
,
Barbara Wohlmuth
Journal articles
hal-00614633v2
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A unified framework for a posteriori error estimation for the Stokes problem
Antti Hannukainen
,
Rolf Stenberg
,
Martin Vohralík
Journal articles
hal-00470131v2
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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
Journal articles
hal-01662944v5
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Guaranteed contraction of adaptive inexact $hp$-refinement strategies with realistic stopping criteria
Patrik Daniel
,
Martin Vohralík
Journal articles
hal-02486433v3
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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
Journal articles
hal-01483461v3
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$hp$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems
Vít Dolejší
,
Alexandre Ern
,
Martin Vohralík
Journal articles
hal-01165187v3
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Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis
Gregor Gantner
,
Martin Vohralík
2023
Preprints, Working Papers, ...
hal-03819048v2
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Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
Alexandre Ern
,
Annette Stephansen
,
Martin Vohralík
Journal articles
hal-00193540v3
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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
Journal articles
hal-01140818v2
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Four closely related equilibrated flux reconstructions for nonconforming finite elements
Alexandre Ern
,
Martin Vohralík
Journal articles
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
Journal articles
hal-03696024v2
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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
Journal articles
hal-02127954v3
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