Martin Vohralík

Directeur de recherche Vědecký pracovník (profesor-ekvivalent) Senior researcher (professor-equivalent)
Equipe-projet SERENA, responsable Projekt SERENA, vedoucí Project-team SERENA, team leader

French Czech English

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Inria Paris Inria Paris Inria Paris

2 rue Simone Iff
75589 Paris
France
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CERMICS, ENPC CERMICS, ENPC CERMICS, ENPC

Université Paris-Est
6 et 8, av. Blaise Pascal
77455 Marne-la-Vallée
France


Thèmes de recherche Výzkumné zájmy Research topics

  • analyse numérique des équations aux dérivées partielles
  • méthodes éléments et volumes finis
  • estimations d'erreur a posteriori et adaptivité
  • solveurs algébriques itératifs, linéarisation itérative, critères d'arrêt
  • simulations numériques (écoulements et transport de contaminants en milieux poreux)
  • numerická analýza a parciální diferenciální rovnice
  • metoda konečných prvků a konečných objemů
  • a posteriorní odhady chyb a adaptivita
  • iterační algebraické řešiče, iterativní linearizace, zastavovací kritéria
  • numerické simulace (proudění a transport kontaminantů v porézním prostředí)
  • numerical analysis and partial differential equations
  • finite element and finite volume methods
  • a posteriori error estimates, adaptivity
  • iterative algebraic solvers, iterative linearization, stopping criteria
  • numerical simulations (flow and transport of contaminants in porous media)

Bref CV Stručný životopis Express CV

Comités de rédaction Redakční rady Editorial boards

SIAM Journal on Numerical Analysis (2013–)
Acta Polytechnica (2009–)

Projets de recherche Výzkumné projekty Research Projects

GATIPOR (ERC consolidator grant, 2015–2020)
DEDALES (ANR, 2014–18)
GEOPOR (ANR, 2013–17)
MoRe (Gouv. Rép. tchèque, 2012–17)
MANIF (ANR, 2011–14)
GATIPOR (ERC consolidator grant, 2015–2020)
DEDALES (Fr. grantová agentura, 2014–18)
GEOPOR (Fr. grantová agentura, 2013–17)
MoRe (vláda České republiky, 2012–17)
MANIF (Fr. grantová agentura, 2011–14)
GATIPOR (ERC consolidator grant, 2015–2020)
DEDALES (Fr. Nat. Research Agency, 2014–18)
GEOPOR (Fr. Nat. Research Agency, 2013–17)
MoRe (Czech Rep. Gov., 2012–17)
MANIF (Fr. Nat. Research Agency, 2011–14)

Distinctions Ocenění Awards

Comités de conférences Komise konferencí Conference committees

ENUMATH (2013, 15, 17, scientifique)
Finite Volumes for Complex Applications (2011, 14, 17, scientifique et d'organisation) Presentation of Mathematics (2010, 12, 14, scientifique)
SimRace (2015, scientifique)
ENUMATH (2013, 15, 17, vědecká)
Finite Volumes for Complex Applications (2011, 14, 17, vědecká a organizační) Presentation of Mathematics (2010, 12, 14, vědecká)
SimRace (2015, vědecká)
ENUMATH (2013, 15, 17, scientific)
Finite Volumes for Complex Applications (2011, 14, 17, scientific and organizing) Presentation of Mathematics (2010, 12, 14, scientific)
SimRace (2015, scientific)

Statistiques Statistiky Statistics

MathSciNet
Zentralblatt MATH
Scopus
Web of Science
Google Scholar

Comités de directeur Výkonné rady Steering committees

Géosciences franciliennes (2015–)
Ecoles d'été CEA–EDF–INRIA (2017–)
Géosciences franciliennes (2015–)
Letní školy CEA–EDF–INRIA (2017–)
Géosciences franciliennes (2015–)
Summer schools CEA–EDF–INRIA (2017–)

Publications sélectionnées Vybrané publikace Selected papers

  • Cancès E., Dusson G., Maday Y., Stamm B., Vohralík M. Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations. SIAM J. Numer. Anal. (2017). Accepted for publication. Preprint PDF icon.
  • Ern A., Vohralík, M. Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations. SIAM J. Numer. Anal. 53 (2015), 1058–1081, Journal version, paper PDF icon.
  • Vohralík M., Wheeler M.-F. A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows. Comput. Geosci. 17 (2013), 789–812. Journal version, preprint PDF icon
  • Ern A., Vohralík M. Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs, SIAM J. Sci. Comput. 35 (2013), A1761–A1791, Journal version, paper PDF icon.
  • Hannukainen A., Stenberg R., Vohralík M. A unified framework for a posteriori error estimation for the Stokes problem. Numer. Math. 4 (2012), 725–769. Journal version, preprint PDF icon.
  • Vohralík, M. Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods. Math. Comp. 79 (2010), 2001–2032. Journal version, preprint PDF icon.

Présentations plénières invitées sélectionnées Vybrané zvané plenární přednášky Selected invited plenary talks

  • Flux and potential reconstructions for guaranteed error bounds in numerical approximations of model PDEs. MAMERN 2017, International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources. Oujda, MarocMarokoMorocco, 18 mai. května May 2017. PrésentationPřednáškaTalk PDF icon.
  • Flux and potential reconstructions for guaranteed error bounds in numerical approximations of model PDEs. TamTam 2017, Tendances des Applications Mathématiques en Tunisie, Algérie, MarocTrendy v matematických aplikacích v Tunisku, Alžírsku a MarokuTrends in Applications of Mathematics in Tunisia, Algeria, and Marocco. Hammamet, TunisieTuniskoTunisia, 10 mai. května May 2017.
  • Estimating a posteriori the discretization and algebraic errors: an overview. ALGORITMY 2016. Podbanske, SlovaquieSlovenskoSlovakia, 18 mars. března March 2016.
  • Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors. WONAPDE 2016, the Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations. Concepción, ChiliČileChile, 12 janvier. ledna January 2016. PrésentationPřednáškaTalk PDF icon.
  • Localization of dual norms, local stopping criteria, and fully adaptive solvers. Adaptive algorithms for computational PDEs. Birmingham, Grande BretagneVelká BritánieGreat Britain, 6 janvier. ledna Januray 2016. PrésentationPřednáškaTalk PDF icon.
  • The current landscape of energy a posteriori error estimators. 28th Chemnitz FEM symposium. Burgstädt, AllemagneNěmeckoGermany, 29 septembre. září September 2015. PrésentationPřednáškaTalk PDF icon.
  • Adaptive regularization, linearization, and algebraic solution in numerical discretizations. International Conference on Modeling, Analysis and Simulation. Tokyo, JaponJaponskoJapan, 9 novembre. listopadu November 2012. PrésentationPřednáškaTalk PDF icon.
  • Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs. XII GAMM Workshop on Applied and Numerical Linear Algebra. Liblice, République tchèqueČeská republikaCzech Republic, 4 septembre. září September 2012. PrésentationPřednáškaTalk PDF icon.
  • A posteriori error estimates including algebraic error: computable upper bounds and stopping criteria for iterative solvers. 21ème séminaire sur la Mécanique des fluides numérique21st workshop on Numerical fluid mechanics21st workshop on Numerical fluid mechanics, Paris, France, 27 janvier 2009.Paříž, Francie, 27. ledna 2009.Paris, France, 27 Junuary 2009.

Logiciels Programy Codes


codes

Thésards Doktorandi Ph.D. students

Jad Dabaghi (2015–)
Patrik Daniel (2015–)
Sarah Ali Hassan (2013–)
Soleiman Yousef (2009–2013)
Carole Heinry (2009–2013)
Nancy Chalhoub (2008–2012)

Post-docs Post-doktorandi Post-docs

Gouranga Mallik (2017–)
Iain Smears (2015–)
Zuqi Tang (2013–2015)
Ph.D. students and post-docs

links

organization

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