Nitsche type mortaring for some elliptic problem with corner singularities
type: Item
instance of: scholarly article
title: Nitsche type mortaring for some elliptic problem with corner singularities
zbMATH Open document ID: 1002.65124
author: K. Pietsch
author: Bernd Heinrich
published in: Computing
publication date: 2002-09-10T00:00:00Z
review text: The Nitsche type mortaring is analysed on quite general triangulations. For meshes with and without grading, basic inequalities, stability and boundedness of the linear forms as well as error estimates are proved. For an appropriate choice of some mesh grading parameter, the rate of convergence is proved to be the same as for regular solutions on quasi-uniform meshes.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 1798885
zbMATH Keywords: finite element method
zbMATH Keywords: non-matching meshes
zbMATH Keywords: corner singularities
zbMATH Keywords: mesh grading
zbMATH Keywords: domain decomposition
zbMATH Keywords: Nitsche type mortaring
zbMATH Keywords: Poisson equation
zbMATH Keywords: Dirichlet data
zbMATH Keywords: numerical example
zbMATH Keywords: stability
zbMATH Keywords: error estimates
zbMATH Keywords: convergence
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: s00607-002-1446-0
OpenAlex ID: W1979058233
DOI: 10.1007/S00607-002-1446-0
description: scientific article; zbMATH DE number 1798885