On the Stability of the Immersed finite element Method with High Order structural Elements

Cesare Corrado 1, *
* Corresponding author
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : The Immersed Finite Element Method (IFEM) is a mathematical formulation for fluid-structure interaction problem like the Immersed Boundary method; in IFEM the immersed structure has the same space dimension of the fluid domain. We present a stability of IFEM for a scheme where the Dirac delta distribution is treated variationally, as in \cite{IBBoffiGastaldiHeltai}; moreover the finite element space related to the structure displacement consists of piecewise continuous Lagrangian elements, at least quadratic. The analysis is performed on two different time-stepping scheme. We demonstrate also that when the structure density is smaller than the fluid one, the stability is assured only if the time step size is bounded from below.
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Journal articles
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https://hal.inria.fr/hal-00764564
Contributor : Cesare Corrado <>
Submitted on : Thursday, December 13, 2012 - 10:53:04 AM
Last modification on : Wednesday, May 15, 2019 - 3:35:48 AM

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Cesare Corrado. On the Stability of the Immersed finite element Method with High Order structural Elements. Computers and Structures, Elsevier, 2012, 112-113, pp.422-432. ⟨10.1016/j.compstruc.2012.09.008⟩. ⟨hal-00764564⟩

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