A finite element approach for the immersed boundary method

Daniele Boffi, Lucia Gastaldi

Research output: Contribution to journalArticlepeer-review

121 Scopus citations

Abstract

We consider a modification of the immersed boundary method which makes use of a finite element spatial discretization. We describe the method for a two-dimensional model problem and justify its variational formulation. We provide a preliminary analysis of the continuous problem in a one-dimensional setting using a fixed point theorem and a compactness argument. Finally, we report on some numerical tests which demonstrate the stability and robustness of the algorithm. © 2003 Elsevier Science Ltd. All rights reserved.
Original languageEnglish (US)
Pages (from-to)491-501
Number of pages11
JournalComputers and Structures
Volume81
Issue number8-11
DOIs
StatePublished - May 1 2003
Externally publishedYes

Cite this