The immersed boundary method in its original formulation, introduced by Peskin , exhibits a high degree of numerical stiffness. A finite element approach was proposed by Boffi et al.  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.
|Title of host publication
|3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
|Number of pages
|Published - Dec 1 2005