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

Nora Lüthen; Mika Juntunen; Rolf Stenberg

doi:10.1007/s00211-017-0927-1

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

Department of Mathematics and Systems Analysis

Swiss Federal Institute of Technology Zurich

Research output: Contribution to journal › Article › Scientific › peer-review

8 Citations (Scopus)

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 language	English
Pages (from-to)	1011–1026
Number of pages	16
Journal	Numerische Mathematik
Volume	138
Issue number	4
DOIs	https://doi.org/10.1007/s00211-017-0927-1
Publication status	Published - Apr 2018
MoE publication type	A1 Journal article-refereed

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10.1007/s00211-017-0927-1

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abstract = "In a previous paper (Juntunen and Stenberg in Math Comput 78:1353–1374, 2009) we have extended Nitsche{\textquoteright}s method (in: Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t 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).",

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AU - Stenberg, Rolf

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N2 - 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).

AB - 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).

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ER -

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

Abstract

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