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 unified 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.
@article{arxiv.1407.5261,
title = {Discrete models for fluid-structure interactions: the Finite Element Immersed Boundary Method},
author = {Daniele Boffi and Lucia Gastaldi},
journal= {arXiv preprint arXiv:1407.5261},
year = {2014}
}