Localized pointwise error estimates and global \(L^p\) error estimates for Nitsche's method
type: Item
instance of: scholarly article
zbMATH Open document ID: 1243.65130
author: Michael Neilan
publication date: 2012-06-27T00:00:00Z
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 6050832
zbMATH Keywords: elliptic second order problem
zbMATH Keywords: localized pointwise error estimates
zbMATH Keywords: global \(L^p\) error estimates
zbMATH Keywords: Nitsche's method
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
title: Localized pointwise error estimates and global \(L^p\) error estimates for Nitsche's method
published in: International Journal of Numerical Analysis and Modeling. Series B
review text: The author considers second order elliptic equations in \(\mathbb R^n\) (\(n = 2, 3\)) and their discretization by the Nitsche method. Some localized pointwise error estimates are derived. Using these results, some quasi-optimal global \(L^p\) error estimates are proved. Numerical tests are presented to support the theoretical findings.
reviewed by: Abdallah Bradji
description: scientific article; zbMATH DE number 6050832