Discrete models for fluid-structure interactions: The finite element immersed boundary method

The aim of this paper is to provide a survey of the state of the art in the finite element approach to the Immersed Boundary Method (fe-ibm) which has been investigated by the authors during the last decade. In a uni-fied setting, we present the different formulation proposed in our research and highlight the advantages of the one based on a distributed Lagrange multiplier (dlm-ibm) over the original fe-ibm.