Istituto di Matematica Applicata e Tecnologie Informatiche     
Boffi D., Gastaldi L. A finite element approach for the immersed boundary method. Preprint ercim.cnr.ian//2002-1285, 2002.
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.
Subject Immersed boundary method, finite element method
65N30, 35Q30

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