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.

The finite element immersed boundary method with distributed Lagrange multiplier

D Boffi;L Gastaldi
2015

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.
2015
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
immersed boundary method; finite elements; fluid-structure interaction problems; fictitious domain methods; stability of numerical methods
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Descrizione: The finite element immersed boundary method with distributed Lagrange multiplier
Tipologia: Versione Editoriale (PDF)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/410687
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