The Finite Element Immersed Boundary Method with Distributed Lagrange multiplier

Daniele Boffi; Nicola Cavallini; Lucia Gastaldi

The Finite Element Immersed Boundary Method with Distributed Lagrange multiplier

Numerical Analysis 2015-03-05 v2

Authors: Daniele Boffi , Nicola Cavallini , Lucia Gastaldi

Abstract

We introduce a new formulation for the finite element immersed boundary method which makes use of a distributed Lagrange multiplier. We prove that a full discretization of our model, based on a semi-implicit time advancing scheme, is unconditionally stable with respect to the time step size.

Keywords

mixed finite element methods finite element methods numerical discretization

Cite

@article{arxiv.1407.5184,
  title  = {The Finite Element Immersed Boundary Method with Distributed Lagrange multiplier},
  author = {Daniele Boffi and Nicola Cavallini and Lucia Gastaldi},
  journal= {arXiv preprint arXiv:1407.5184},
  year   = {2015}
}

Comments

Revised version based on referees' comment on the original manuscript

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