Discrete models for fluid-structure interactions: the Finite Element Immersed Boundary Method
It provides a unified overview of FE-IBM variants for researchers working on fluid-structure interaction problems, but is primarily a survey rather than a novel contribution.
This paper surveys the finite element approach to the Immersed Boundary Method (FE-IBM), focusing on the distributed Lagrange multiplier formulation (DLM-IBM) and its advantages over the original FE-IBM, based on a decade of research.
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.