# American Institute of Mathematical Sciences

February  2016, 9(1): 89-107. doi: 10.3934/dcdss.2016.9.89

## Discrete models for fluid-structure interactions: The finite element Immersed Boundary Method

 1 Dipartimento di Matematica "F. Casorati", Università degli Studi di Pavia, Pavia, Italy 2 DICATAM - Sez. Matematica, Università degli Studi di Brescia, Brescia, Italy

Received  September 2014 Revised  February 2015 Published  December 2015

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.
Citation: Daniele Boffi, Lucia Gastaldi. Discrete models for fluid-structure interactions: The finite element Immersed Boundary Method. Discrete & Continuous Dynamical Systems - S, 2016, 9 (1) : 89-107. doi: 10.3934/dcdss.2016.9.89
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