Martin Vohralík

69 papers Misc 1Journal 67

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Constrained and Unconstrained Stable Discrete Minimizations for p-Robust Local Reconstructions in Vertex Patches in the de Rham Complex. Found. Comput. Math. Théophile Chaumont-Frelet, Martin Vohralík
2026	J	`jnl`	On p-robust convergence and optimality of adaptive FEM driven by equilibrated-flux estimators. CoRR Théophile Chaumont-Frelet, Zhaonan Dong, Gregor Gantner, Martin Vohralík
2025	J	`jnl`	A posteriori error estimates and adaptivity for locally conservative methods. Inexpensive implementation and evaluation, polytopal meshes, iterative linearization and algebraic solvers, and applications to complex porous media flows. CoRR Martin Vohralík, Soleiman Yousef
2025	J	`jnl`	A quasi-interpolation operator yielding fully computable error bounds. CoRR Théophile Chaumont-Frelet, Martin Vohralík
2025	J	`jnl`	Computable Poincaré-Friedrichs constants for the L CoRR Théophile Chaumont-Frelet, Martin Werner Licht, Martin Vohralík
2025	J	`jnl`	Local L2-bounded commuting projections using discrete local problems on Alfeld splits. CoRR Alexandre Ern, Johnny Guzmán, Pratyush Potu, Martin Vohralík
2024	J	`jnl`	A stable local commuting projector and optimal hp approximation estimates in $\varvec{H}(\textrm{curl})$. Numerische Mathematik Théophile Chaumont-Frelet, Martin Vohralík
2024	J	`jnl`	A-posteriori-steered p-robust multigrid and domain decomposition methods with optimal step-sizes for mixed finite element discretizations of elliptic problems. CoRR Ani Miraçi, Jan Papez, Martin Vohralík, Ivan Yotov
2024	J	`jnl`	An Equilibrated Flux A Posteriori Error Estimator for Defeaturing Problems. SIAM J. Numer. Anal. Annalisa Buffa, Ondine Chanon, Denise Grappein, Rafael Vázquez, Martin Vohralík
2024	J	`jnl`	Discrete Poincaré inequalities: a review on proofs, equivalent formulations, and behavior of constants. CoRR Alexandre Ern, Johnny Guzmán, Pratyush Potu, Martin Vohralík
2023	J	`jnl`	A Space-Time Multiscale Mortar Mixed Finite Element Method for Parabolic Equations. SIAM J. Numer. Anal. Manu Jayadharan, Michel Kern, Martin Vohralík, Ivan Yotov
2023	J	`jnl`	A posteriori error estimates for the Richards equation. Math. Comput. K. Mitra, Martin Vohralík
2023	J	`jnl`	Adaptive inexact smoothing Newton method for a nonconforming discretization of a variational inequality. Comput. Math. Appl. Ibtihel Ben Gharbia, Joëlle Ferzly, Martin Vohralík, Soleiman Yousef
2023	J	`jnl`	An equilibrated flux a posteriori error estimator for defeaturing problems. CoRR Annalisa Buffa, Ondine Chanon, Denise Grappein, Rafael Vázquez Hernández, Martin Vohralík
2023	J	`jnl`	Semismooth and smoothing Newton methods for nonlinear systems with complementarity constraints: Adaptivity and inexact resolution. J. Comput. Appl. Math. Ibtihel Ben Gharbia, Joëlle Ferzly, Martin Vohralík, Soleiman Yousef
2023	J	`jnl`	$p$ -Robust Equilibrated Flux Reconstruction in $\boldsymbol{H}(\textrm{curl})$ Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem. SIAM J. Numer. Anal. Théophile Chaumont-Frelet, Martin Vohralík
2022	J	`jnl`	A stable local commuting projector and optimal hp approximation estimates in H(curl). CoRR Théophile Chaumont-Frelet, Martin Vohralík
2022	J	`jnl`	Constrained and unconstrained stable discrete minimizations for p-robust local reconstructions in vertex patches in the de Rham complex. CoRR Théophile Chaumont-Frelet, Martin Vohralík
2022	J	`jnl`	Inexpensive guaranteed and efficient upper bounds on the algebraic error in finite element discretizations. Numer. Algorithms Jan Papez, Martin Vohralík
2022	J	`jnl`	Inexpensive polynomial-degree- and number-of-hanging-nodes-robust equilibrated flux a posteriori estimates for isogeometric analysis. CoRR Gregor Gantner, Martin Vohralík
2022	J	`jnl`	Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem. Math. Comput. Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2021	J	`jnl`	$p$-robust equilibrated flux reconstruction in ${\boldsymbol H}(\mathrm{curl})$ based on local minimizations. Application to a posteriori analysis of the curl-curl problem. CoRR Théophile Chaumont-Frelet, Martin Vohralík
2021	J	`jnl`	A posteriori error estimates for the Richards equation. CoRR K. Mitra, Martin Vohralík
2021	J	`jnl`	A space-time multiscale mortar mixed finite element method for parabolic equations. CoRR Manu Jayadharan, Michel Kern, Martin Vohralík, Ivan Yotov
2021	J	`jnl`	A-Posteriori-Steered p-Robust Multigrid with Optimal Step-Sizes and Adaptive Number of Smoothing Steps. SIAM J. Sci. Comput. Ani Miraçi, Jan Papez, Martin Vohralík
2021	J	`jnl`	Contractive Local Adaptive Smoothing Based on Dörfler's Marking in A-Posteriori-Steered p-Robust Multigrid Solvers. Comput. Methods Appl. Math. Ani Miraçi, Jan Papez, Martin Vohralík
2021	J	`jnl`	Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations. Math. Comput. Clément Cancès, Flore Nabet, Martin Vohralík
2021	J	`jnl`	Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. Numerische Mathematik Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík
2021	J	`jnl`	On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2021	J	`jnl`	On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation. Numerische Mathematik Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2020	J	`jnl`	A Multilevel Algebraic Error Estimator and the Corresponding Iterative Solver with p-Robust Behavior. SIAM J. Numer. Anal. Ani Miraçi, Jan Papez, Martin Vohralík
2020	J	`jnl`	Adaptive Inexact Semismooth Newton Methods for the Contact Problem Between Two Membranes. J. Sci. Comput. Jad Dabaghi, Vincent Martin, Martin Vohralík
2020	J	`jnl`	Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. CoRR Alexander Haberl, Dirk Praetorius, Stefan Schimanko, Martin Vohralík
2020	J	`jnl`	Goal-oriented a posteriori error estimation for conforming and nonconforming approximations with inexact solvers. J. Comput. Appl. Math. Gouranga Mallik, Martin Vohralík, Soleiman Yousef
2020	J	`jnl`	Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters. Math. Comput. Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
2020	J	`jnl`	Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters. CoRR Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
2020	J	`jnl`	Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2020	J	`jnl`	Stable broken H Math. Comput. Alexandre Ern, Martin Vohralík
2020	J	`jnl`	Stable broken H(curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations. CoRR Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
2019	J	`jnl`	Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal hp approximation estimates in H(div). CoRR Alexandre Ern, Thirupathi Gudi, Iain Smears, Martin Vohralík
2018	J	`jnl`	A Posteriori Stopping Criteria for Optimized Schwarz Domain Decomposition Algorithms in Mixed Formulations. Comput. Methods Appl. Math. Sarah Ali Hassan, Caroline Japhet, Michel Kern, Martin Vohralík
2018	J	`jnl`	Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem. Numerische Mathematik Martin Cermák, Frédéric Hecht, Zuqi Tang, Martin Vohralík
2018	J	`jnl`	An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor. Comput. Math. Appl. Patrik Daniel, Alexandre Ern, Iain Smears, Martin Vohralík
2018	J	`jnl`	Estimating and localizing the algebraic and total numerical errors using flux reconstructions. Numerische Mathematik Jan Papez, Zdenek Strakos, Martin Vohralík
2018	J	`jnl`	Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework. Numerische Mathematik Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
2017	J	`jnl`	Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations. SIAM J. Numer. Anal. Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
2017	J	`jnl`	Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems. SIAM J. Numer. Anal. Alexandre Ern, Iain Smears, Martin Vohralík
2016	J	`jnl`	A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models. J. Comput. Phys. Eric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralík
2016	J	`jnl`	hp-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems. SIAM J. Sci. Comput. Vít Dolejsí, Alexandre Ern, Martin Vohralík
2015	J	`jnl`	Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem. Math. Comput. Daniele A. Di Pietro, Martin Vohralík, Soleiman Yousef
2015	J	`jnl`	Algebraic and Discretization Error Estimation by Equilibrated Fluxes for Discontinuous Galerkin Methods on Nonmatching Grids. J. Sci. Comput. Vít Dolejsí, Ivana Sebestová, Martin Vohralík
2015	J	`jnl`	Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations. SIAM J. Numer. Anal. Alexandre Ern, Martin Vohralík
2014	J	`jnl`	A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media. J. Comput. Phys. Daniele A. Di Pietro, Eric Flauraud, Martin Vohralík, Soleiman Yousef
2014	J	`jnl`	An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow. Math. Comput. Clément Cancès, Iuliu Sorin Pop, Martin Vohralík
2014	J	`jnl`	An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphase compositional flows in porous media. Comput. Math. Appl. Daniele A. Di Pietro, Martin Vohralík, Soleiman Yousef
2013	J	`jnl`	A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems. SIAM J. Numer. Anal. Vít Dolejsí, Alexandre Ern, Martin Vohralík
2013	J	`jnl`	Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs. SIAM J. Sci. Comput. Alexandre Ern, Martin Vohralík
2013	J	`jnl`	Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling. SIAM J. Numer. Anal. Gergina Pencheva, Martin Vohralík, Mary F. Wheeler, Tim Wildey
2012	J	`jnl`	A unified framework for a posteriori error estimation for the Stokes problem. Numerische Mathematik Antti Hannukainen, Rolf Stenberg, Martin Vohralík
2011	J	`jnl`	Guaranteed and Fully Robust a posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients. J. Sci. Comput. Martin Vohralík
2010	J	`jnl`	A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers. SIAM J. Sci. Comput. Pavel Jiránek, Zdenek Strakos, Martin Vohralík
2010	J	`jnl`	A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation. SIAM J. Numer. Anal. Alexandre Ern, Martin Vohralík
2010	J	`jnl`	Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems. J. Comput. Appl. Math. Alexandre Ern, Annette F. Stephansen, Martin Vohralík
2010	J	`jnl`	Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods. Math. Comput. Martin Vohralík
2008	J	`jnl`	Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods. Numerische Mathematik Martin Vohralík
2007	J	`jnl`	A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. Martin Vohralík
2006	J	`jnl`	A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems. Numerische Mathematik Robert Eymard, Danielle Hilhorst, Martin Vohralík
2004	—	`—`	Numerical methods for nonlinear elliptic and parabolic equations. Application to flow problems in porous and fractured media. (Méthodes numériques pour des équations elliptiques et paraboliques non linéaires. Application à des problèmes d'écoulement en milieux poreux et fracturés). Martin Vohralík
2002	Misc	`conf`	Mixed-Hybrid FEM Discrete Fracture Network Model of the Fracture Flow. International Conference on Computational Science (3) Jirí Maryska, Otto Severýn, Martin Vohralík