Residual error estimate for BEM-based FEM on polygonal meshes
type: Item
instance of: scholarly article
title: Residual error estimate for BEM-based FEM on polygonal meshes
zbMATH Open document ID: 1227.65103
author: Steffen Weißer
published in: Numerische Mathematik
publication date: 2011-08-23T00:00:00Z
review text: The author studies a finite element method (FEM) to solve the boundary value problem \[ -\text{div}(a(x)\nabla u(x))= f(x),\quad x\in\Omega\subset \mathbb R^{2}, \] where \(\Omega\) is a polygonal Lipschitz domain with the boundary \(\Gamma=\Gamma_{D}\cup \Gamma _{N}\). The mesh on this domain is constructed also in polygonal form, that fulfills more conditions. The error estimate of this method uses a so called ``residual error'' on the edges of the element mesh.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5942044
zbMATH Keywords: boundary value problem
zbMATH Keywords: finite element method
zbMATH Keywords: mesh refinement
zbMATH Keywords: polygonal meshes
zbMATH Keywords: boundary element method (BEM)
zbMATH Keywords: error estimate
reviewed by: Ivan Secrieru
MaRDI profile type: Publication
full work available at URL: s00211-011-0371-6
OpenAlex ID: W2154835217
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DOI: 10.1007/S00211-011-0371-6
description: scientific article; zbMATH DE number 5942044