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

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An improved a priori error analysis of Nitsche’s method for Robin boundary conditions. / Lüthen, Nora; Juntunen, Mika; Stenberg, Rolf.

In: Numerische Mathematik, Vol. 138, No. 4, 04.2018, p. 1011–1026.

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@article{774ce0ddc6d342c8abba7226a188dbea,
title = "An improved a priori error analysis of Nitsche’s method for Robin boundary conditions",
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 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).",
author = "Nora L{\"u}then and Mika Juntunen and Rolf Stenberg",
year = "2018",
month = "4",
doi = "10.1007/s00211-017-0927-1",
language = "English",
volume = "138",
pages = "1011–1026",
journal = "Numerische Mathematik",
issn = "0029-599X",
number = "4",

}

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TY - JOUR

T1 - An improved a priori error analysis of Nitsche’s method for Robin boundary conditions

AU - Lüthen, Nora

AU - Juntunen, Mika

AU - Stenberg, Rolf

PY - 2018/4

Y1 - 2018/4

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).

UR - http://www.scopus.com/inward/record.url?scp=85034266678&partnerID=8YFLogxK

U2 - 10.1007/s00211-017-0927-1

DO - 10.1007/s00211-017-0927-1

M3 - Article

VL - 138

SP - 1011

EP - 1026

JO - Numerische Mathematik

JF - Numerische Mathematik

SN - 0029-599X

IS - 4

ER -

ID: 16605508