The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier

Daniele Boffi, Nicola Cavallini, Lucia Gastaldi

Type: Article

Publication Date: 2015-01-01

Citations: 67

DOI: https://doi.org/10.1137/140978399

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.

Locations

SIAM Journal on Numerical Analysis - View
arXiv (Cornell University) - View - PDF

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