On the CFL condition for the finite element immersed boundary method

Authors:
Daniele Boffi;Lucia Gastaldi;Luca Heltai
Affiliations:
Dipartimento di Matematica, Universití di Pavia, via Ferrata 1 Pavia, Italy;Dipartimento di Matematica, Universití di Brescia, via Valotti 9 Brescia, Italy;Dipartimento di Matematica, Universití di Pavia, via Ferrata 1 Pavia, Italy
Venue:
Computers and Structures
Year:
2007

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Abstract

The finite element version of the immersed boundary method proved to be a robust alternative to the original one which was based on finite differences. In this paper we highlight the advantages of the new method and discuss a stability analysis for its space-time discretization. Numerical experiments confirm the theoretical results.