Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods - MaRDI portal

Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods

From MaRDI portal
Publication:3160728

DOI10.1090/S0025-5718-2010-02375-0zbMath1201.65200OpenAlexW2132509247MaRDI QIDQ3160728

Martin Vohralík

Publication date: 8 October 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2010-02375-0



Related Items

Stress-Based Methods for Quasi-Variational Inequalities Associated with Frictional Contact, Guaranteed a posteriori error estimates for a staggered discontinuous Galerkin method, A posteriori error control and adaptivity of \(hp\)-finite elements for mixed and mixed-hybrid methods, A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations, Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity, Guaranteed a posteriori error estimator for mixed finite element methods of elliptic problems, A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations, Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria, An adaptive discontinuous Galerkin method for the Darcy system in fractured porous media, Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems, \textit{A posteriori} error estimates for hierarchical mixed-dimensional elliptic equations, A posteriori error estimator for a multiscale hybrid mixed method for Darcy's flows, A posteriori error estimates for mixed approximations of degenerate elliptic problems, A posteriori error estimates for primal hybrid finite element methods applied to Poisson problem, Non-uniform order mixed FEM approximation: implementation, post-processing, computable error bound and adaptivity, Asymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problems, Robust and local optimal a priori error estimates for interface problems with low regularity: mixed finite element approximations, A posteriori error estimates for a dual finite element method for singularly perturbed reaction-diffusion problems, \(hp\)-FEM for a stabilized three-field formulation of the biharmonic problem, Asymptotically exact a posteriori error analysis for the mixed Laplace eigenvalue problem, Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model, A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations, A posteriori error analysis via post-processing for a model of flow in a fractured porous media, Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods, Guaranteed \textit{a posteriori} error estimates for a fractured porous medium, MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS, Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations, A unified framework for a posteriori error estimation for the Stokes problem, Sharp algebraic and total a posteriori error bounds for \(h\) and \(p\) finite elements via a multilevel approach. Recovering mass balance in any situation, Nonconforming discretizations of convex minimization problems and precise relations to mixed methods, Guaranteed and asymptotically exact a posteriori error estimator for lowest-order Raviart-Thomas mixed finite element method, HIERARCHICAL ERROR ESTIMATORS FOR LOWEST-ORDER MIXED FINITE ELEMENT METHODS, Error indicators for incompressible Darcy flow problems using enhanced velocity mixed finite element method, A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows, $hp$-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems, A residual \textit{a posteriori} error estimators for a model for flow in porous media with fractures, Algebraic Hybridization and Static Condensation with Application to Scalable $H$(div) Preconditioning, The Prager–Synge theorem in reconstruction based a posteriori error estimation, Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations, Linearization of the Travel Time Functional in Porous Media Flows



Cites Work