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
217 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
201 2013 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
192 2007 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
175 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
155 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
143 2010 An accurate A Ern, S Nicaise, M Vohralík
Comptes Rendus. Mathématique 345 (12), 709-712, 2007
131 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
127 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
124 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
109 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, 217-234, 2005
105 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
98 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
91 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
88 2010 A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows M Vohralík, MF Wheeler
Computational Geosciences 17, 789-812, 2013
79 2013 Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods M Vohralík
Numerische Mathematik 111 (1), 121-158, 2008
79 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
70 2013 Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems A Ern, I Smears, M Vohralík
SIAM Journal on Numerical Analysis 55 (6), 2811-2834, 2017
68 2017 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
66 2014 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
66 2006 