Guaranteed a posteriori error estimator for mixed finite element methods of elliptic problems

From MaRDI portal
Publication:388587

DOI10.1016/j.amc.2012.04.084zbMath1281.65142OpenAlexW2052501455MaRDI QIDQ388587

Kwang-Yeon Kim

Publication date: 2 January 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.084




Related Items (17)

Novel adaptive hybrid discontinuous Galerkin algorithms for elliptic problemsAsymptotically exact a posteriori local discontinuous Galerkin error estimates for the one-dimensional second-order wave equationA posteriori error control and adaptivity of \(hp\)-finite elements for mixed and mixed-hybrid methodsA Posteriori Error Estimates of Edge Residual-Type of Weak Galerkin Mixed FEM Solving Second-Order Elliptic Problems on Polytopal MeshA mixed finite element method for the Poisson problem using a biorthogonal system with <scp>Raviart–Thomas</scp> elementsOptimal error estimates of the local discontinuous Galerkin method for nonlinear second‐order elliptic problems on Cartesian gridsAsymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problemsA Unified Analysis of Quasi-Optimal Convergence for Adaptive Mixed Finite Element MethodsAdaptive finite element analysis of elliptic problems based on bubble-type local mesh generationGoal-oriented error estimation based on equilibrated-flux reconstruction for finite element approximations of elliptic problemsAsymptotically exact a posteriori error analysis for the mixed Laplace eigenvalue problemAsymptotically exact a posteriori LDG error estimates for one-dimensional transient convection-diffusion problemsGuaranteed and asymptotically exact a posteriori error estimator for lowest-order Raviart-Thomas mixed finite element methodHIERARCHICAL ERROR ESTIMATORS FOR LOWEST-ORDER MIXED FINITE ELEMENT METHODSQuasi-linear convection-dominated transport problem based on characteristics-mixed finite element methodPolynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed DiscretizationsON THE ASYMPTOTIC EXACTNESS OF AN ERROR ESTIMATOR FOR THE LOWEST-ORDER RAVIART-THOMAS MIXED FINITE ELEMENT



Cites Work


This page was built for publication: Guaranteed a posteriori error estimator for mixed finite element methods of elliptic problems