A posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes
type: Item
instance of: scholarly article
title: A posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes
zbMATH Open document ID: 1410.65427
author: Bei Zhang
author: Jikun Zhao
author: Shaochun Chen
published in: Applied Mathematics and Computation
publication date: 2018-06-22T00:00:00Z
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 6893694
zbMATH Keywords: a posteriori error estimates
zbMATH Keywords: anisotropic meshes
zbMATH Keywords: nonconforming finite element
zbMATH Keywords: alignment measure
zbMATH Keywords: singularly perturbed problem
MaRDI profile type: Publication
full work available at URL: j.amc.2014.01.145
OpenAlex ID: W2007093945
cites work: A posteriori error analysis using the constitutive law for the Crouzeix-Raviart element
cites work: Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation
cites work: A framework for obtaining guaranteed error bounds for finite element approximations
cites work: Reliable and Robust A Posteriori Error Estimation for Singularly Perturbed Reaction-Diffusion Problems
cites work: A posteriori error estimation in finite element analysis
cites work: Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems
cites work: Q4239076
cites work: Validation of a posteriori error estimators by numerical approach
cites work: A priori and a posteriori error bounds for a nonconforming linear finite element approximation of a non-newtonian flow
cites work: Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM
cites work: A unifying theory of a posteriori error control for nonconforming finite element methods
cites work: A posteriori error estimates for nonconforming finite element methods
cites work: Mesh refinement strategies for solving singularly perturbed reaction-diffusion problems
cites work: Guaranteed and robusta posteriorierror estimates for singularly perturbed reaction–diffusion problems
cites work: A POSTERIORI ERROR ESTIMATION FOR THE STOKES PROBLEM: ANISOTROPIC AND ISOTROPIC DISCRETIZATIONS
cites work: Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
cites work: Error Estimators for Nonconforming Finite Element Approximations of the Stokes Problem
cites work: A posteriori error estimators for nonconforming finite element methods
cites work: Explicit Error Bounds for a Nonconforming Finite Element Method
cites work: An equilibrated residual method with a computable error approximation for a singularly perturbed reaction-diffusion problem on anisotropic finite element meshes
cites work: Q4246774
cites work: An a posteriori residual error estimator for the finite element method on anisotropic tetrahedral meshes
cites work: A local problem error estimator for anisotropic tetrahedral finite element meshes
cites work: Robust a posteriori error estimation for a singularly perturbed reaction--diffusion equation on anisotropic tetrahedral meshes
cites work: Robust local problem error estimation for a singularly perturbed problem on anisotropic finite element meshes.
cites work: Zienkiewicz–Zhu error estimators on anisotropic tetrahedral and triangular finite element meshes
cites work: Edge residuals dominate a posteriori error estimates for linear finite element methods on anisotropic triangular and tetrahedral meshes
cites work: Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems
cites work: Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
cites work: Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type
cites work: A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem
cites work: Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements
cites work: A Robust Finite Element Method for Darcy--Stokes Flow
cites work: A robust nonconforming \(H^2\)-element
cites work: An optimal Poincaré inequality for convex domains
cites work: Approximations in elasticity based on the concept of function space
cites work: Functional a posteriori estimates for the reaction-diffusion problem
cites work: Guaranteed and robust error bounds for nonconforming approximations of elliptic problems
cites work: Q3126802
cites work: Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012
cites work: A posterioriError Estimates with Post-Processing for Nonconforming Finite Elements
cites work: Q4886148
cites work: Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation
cites work: Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for singularly perturbed reaction-diffusion problems
DOI: 10.1016/J.AMC.2014.01.145
description: scientific article; zbMATH DE number 6893694