Mixed formulation for interface problems with distributed Lagrange multiplier

Daniele Boffi, Lucia Gastaldi, Michele Ruggeri

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We study a mixed formulation for elliptic interface problems which has been recently introduced when dealing with a test problem arising from fluid-structure interaction applications. The formulation, which involves a Lagrange multiplier defined in the solid domain, can be approximated by standard finite elements on meshes which do not need to fit with the interface. In this paper we discuss a modification of the original formulation involving a different approach for the analysis and the numerical implementation of the Lagrange multiplier. New two-dimensional numerical results confirm the good performances of the proposed schemes.
Original languageEnglish (US)
Pages (from-to)2151-2166
Number of pages16
JournalComputers and Mathematics with Applications
Volume68
Issue number12
DOIs
StatePublished - Jan 1 2014
Externally publishedYes

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