An improved a priori error analysis of Nitsche’s method for Robin boundary conditions

Nora Lüthen, Mika Juntunen, Rolf Stenberg*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In a previous paper (Juntunen and Stenberg in Math Comput 78:1353–1374, 2009) we have extended Nitsche’s method (in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1970/71) for the Poisson equation with general Robin boundary conditions. The analysis required that the solution is in (Formula presented.), with (Formula presented.). Here we give an improved error analysis using a technique proposed by Gudi (Math Comput 79:2169–2189 2010).

Original languageEnglish
Pages (from-to)1011–1026
Number of pages16
JournalNumerische Mathematik
Volume138
Issue number4
DOIs
Publication statusPublished - Apr 2018
MoE publication typeA1 Journal article-refereed

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