Martin Vohralik
Martin Vohralik
directeur de recherche, Inria Paris
Verified email at - Homepage
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A posteriori error estimates for lowest-order mixed finite element discretizations of convection-diffusion-reaction equations
M Vohralík
SIAM Journal on Numerical Analysis 45 (4), 1570-1599, 2007
Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations
A Ern, M Vohralík
SIAM Journal on Numerical Analysis 53 (2), 1058-1081, 2015
Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs
A Ern, M Vohralík
SIAM Journal on Scientific Computing 35 (4), A1761-A1791, 2013
Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection–diffusion–reaction problems
A Ern, AF Stephansen, M Vohralík
Journal of computational and applied mathematics 234 (1), 114-130, 2010
A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
R Eymard, D Hilhorst, M Vohralík
Numerische Mathematik 105 (1), 73-131, 2006
A posteriori error estimates including algebraic error and stopping criteria for iterative solvers
P Jiránek, Z Strakoš, M Vohralík
SIAM Journal on Scientific Computing 32 (3), 1567-1590, 2010
An accurate H (div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems
A Ern, S Nicaise, M Vohralík
Comptes Rendus Mathematique 345 (12), 709-712, 2007
A posteriori error estimation based on potential and flux reconstruction for the heat equation
A Ern, M Vohralík
SIAM Journal on Numerical Analysis 48 (1), 198-223, 2010
Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems
L El Alaoui, A Ern, M Vohralík
Computer Methods in Applied Mechanics and Engineering 200 (37-40), 2782-2795, 2011
Guaranteed and fully robust a posteriori error estimates for conforming discretizations of diffusion problems with discontinuous coefficients
M Vohralík
Journal of Scientific Computing 46 (3), 397-438, 2011
Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model
J Maryška, O Severýn, M Vohralík
Computational Geosciences 8 (3), 217-234, 2005
On the Discrete Poincaré–Friedrichs Inequalities for Nonconforming Approximations of the Sobolev Space H 1
M Vohralík
Numerical functional analysis and optimization 26 (7-8), 925-952, 2005
A unified framework for a posteriori error estimation for the Stokes problem
A Hannukainen, R Stenberg, M Vohralík
Numerische Mathematik 122 (4), 725-769, 2012
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
M Vohralík
Mathematics of computation 79 (272), 2001-2032, 2010
Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
M Vohralík
Numerische Mathematik 111 (1), 121-158, 2008
Mixed finite element methods: implementation with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods
M Vohralík, BI Wohlmuth
Mathematical Models and Methods in Applied Sciences 23 (05), 803-838, 2013
A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows
M Vohralík, MF Wheeler
Computational Geosciences 17 (5), 789-812, 2013
Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
M Vohralík
ESAIM: Mathematical Modelling and Numerical Analysis 40 (2), 367-391, 2006
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
C Cancès, I Pop, M Vohralík
Mathematics of Computation 83 (285), 153-188, 2014
A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems
V Dolejsi, A Ern, M Vohralík
SIAM Journal on Numerical Analysis 51 (2), 773-793, 2013
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