Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains.
type: Item
instance of: scholarly article
title: Error estimation with guaranteed accuracy of finite element method in nonconvex polygonal domains.
zbMATH Open document ID: 1033.65097
DOI: 10.1016/S0377-0427(03)00569-7
author: Nobito Yamamoto
author: Keisuke Hayakawa
published in: Journal of Computational and Applied Mathematics
publication date: 2003-10-15T00:00:00Z
review text: The aim of the paper is to estimate errors of the finite element method for a nonconvex polygonal domain. This work extends the results of \textit{N. Yamamoto} and \textit{M. T. Nakao} [ Numer. Math. 65, 503--521 (1993; Zbl 0797.65081)]. The authors derive an upper bounds for the errors using calculations with guaranteed accuracy. Several numerical examples are presented and their convergence orders are compared with the theoretical ones.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1993211
zbMATH Keywords: finite element method
zbMATH Keywords: error estimation
zbMATH Keywords: nonconvex polygonal domain
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence
reviewed by: Vit Dolejsi
describes a project that uses: INTLAB
MaRDI profile type: Publication
cites work: Numerical verification of solutions for nonlinear elliptic problems using an \(L^\infty\) residual method
cites work: Q2765619
cites work: Q2765426
cites work: Q4080678
cites work: Q4949347
cites work: A simple method for error bounds of eigenvalues of symmetric matrices
cites work: Numerical verifications of solutions for elliptic equations in nonconvex polygonal domains
description: scientific article; zbMATH DE number 1993211