Discrete models for fluid-structure interactions: the Finite Element Immersed Boundary Method

2014/07/20 by Boffi, Daniele, Gastaldi, Lucia
#65M12 #65M60 #65M85 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1407.5261

Abstract

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.

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