THE FINITE ELEMENT IMMERSED BOUNDARY METHOD WITH DISTRIBUTED LAGRANGE MULTIPLIER

THE FINITE ELEMENT IMMERSED BOUNDARY METHOD WITH DISTRIBUTED LAGRANGE MULTIPLIER

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.

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Veröffentlicht in:SIAM journal on numerical analysis 2015-01, Vol.53 (6), p.2584-2604
Hauptverfasser: BOFFI, DANIELE, CAVALLINI, NICOLA, GASTALDI, LUCIA
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0036-1429
1095-7170
DOI:10.1137/140978399