The finite element immersed boundary method with distributed lagrange multiplier

Daniele Boffi, Nicola Cavallini, Lucia Gastaldi

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

Abstract

We introduce a new formulation for the finite element immersed boundary method which makes use of a distributed Lagrange multiplier. We prove that a full discretization of our model, based on a semi-implicit time advancing scheme, is unconditionally stable with respect to the time step size.
Original languageEnglish (US)
Pages (from-to)2584-2604
Number of pages21
JournalSIAM Journal on Numerical Analysis
Volume53
Issue number6
DOIs
StatePublished - Jan 1 2015
Externally publishedYes

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