Stability results for the finite element approach to the immersed boundary method

Daniele Boffi, Lucia Gastaldi, Luca Heltai

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The immersed boundary method in its original formulation, introduced by Peskin [1], exhibits a high degree of numerical stiffness. A finite element approach was proposed by Boffi et al. [2] and further developed in Boffi et al. [3,4] to solve some of the difficulties arising from the original formulation. We present a stability analysis for the two dimensional case with some numerical tests that show how to choose the numerical parameters in order to obtain optimal stability. © 2005 Elsevier Ltd.
Original languageEnglish (US)
Title of host publication3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages93-96
Number of pages4
StatePublished - Dec 1 2005
Externally publishedYes

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