On the connection between the stabilized Lagrange multiplier and Nitsche’s methods

Mika Juntunen

doi:10.1007/s00211-015-0701-1

On the connection between the stabilized Lagrange multiplier and Nitsche’s methods

Mika Juntunen^*

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

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

6 Citations (Scopus)

Abstract

We derive Nitsche’s method for the domain decomposition through the stabilized Lagrange multiplier method. Taking material parameters carefully into account this derivation naturally introduces parameter weighted average flux and stabilizing terms to Nitsche’s method. We show stability and a priori analyses in the mesh dependent norms for both the stabilized method and Nitsche’s method, and discuss connections between the proposed methods.

Original language	English
Pages (from-to)	453-471
Number of pages	19
Journal	Numerische Mathematik
Volume	131
Issue number	3
DOIs	https://doi.org/10.1007/s00211-015-0701-1
Publication status	Published - 13 Nov 2015
MoE publication type	A1 Journal article-refereed

Keywords

65N30
65N55

Access to Document

10.1007/s00211-015-0701-1

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abstract = "We derive Nitsche{\textquoteright}s method for the domain decomposition through the stabilized Lagrange multiplier method. Taking material parameters carefully into account this derivation naturally introduces parameter weighted average flux and stabilizing terms to Nitsche{\textquoteright}s method. We show stability and a priori analyses in the mesh dependent norms for both the stabilized method and Nitsche{\textquoteright}s method, and discuss connections between the proposed methods.",

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AB - We derive Nitsche’s method for the domain decomposition through the stabilized Lagrange multiplier method. Taking material parameters carefully into account this derivation naturally introduces parameter weighted average flux and stabilizing terms to Nitsche’s method. We show stability and a priori analyses in the mesh dependent norms for both the stabilized method and Nitsche’s method, and discuss connections between the proposed methods.

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KW - 65N55

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DO - 10.1007/s00211-015-0701-1

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VL - 131

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JO - Numerische Mathematik

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