Error analysis of Nitsche’s mortar method

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  • University of Lisbon

Abstract

Optimal a priori and a posteriori error estimates are derived for three variants of Nitsche’s mortar finite elements. The analysis is based on the equivalence of Nitsche’s method and the stabilised mixed method. Nitsche’s method is defined so that it is robust with respect to large jumps in the material and mesh parameters over the interface. Numerical results demonstrate the robustness of the a posteriori error estimators.

Details

Original languageEnglish
Pages (from-to)973-994
Number of pages22
JournalNumerische Mathematik
Volume142
Issue number4
Publication statusPublished - 1 Aug 2019
MoE publication typeA1 Journal article-refereed

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