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

Mika Juntunen*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-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 languageEnglish
Pages (from-to)453-471
Number of pages19
JournalNumerische Mathematik
Volume131
Issue number3
DOIs
Publication statusPublished - 13 Nov 2015
MoE publication typeA1 Journal article-refereed

Keywords

  • 65N30
  • 65N55

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