Stability results for the finite element approach to the immersed boundary method
نویسندگان
چکیده
The immersed boundary method in its original formulation, introduced by Peskin in [9], exhibits a high degree of numerical stiffness. A finite element approach was proposed by Boffi et al. [1] and further developed in Boffi et al. [2,3] 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 which show how to choose the numerical parameters in order to obtain optimal stability.
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تاریخ انتشار 2005