Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

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

Daniele Boffia, Lucia Gastaldib, Luca Heltaia,*
aDipartimento di Matematica 'F. Casorati', Via Ferrata 1, I-27100 Pavia, Italy bDipartimento di Matematica, Via Valotti 9, I-25133 Brescia, Italy

  Full Text
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.

Keywords:  Immersed boundary method; Finite element method; Stability analysis

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