Iterative coupling of FEM and BEM in 3D transient elastodynamics

A domain decomposition approach is presented for the transient analysis of three-dimensional wave propagation problems. The subdomains are modelled using the FEM and/or the BEM, and the coupling of the subdomains is performed in an iterative manner, employing a sequential Neumann–Dirichlet interface...

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Vydané v:	Engineering analysis with boundary elements Ročník 29; číslo 8; s. 775 - 787
Hlavní autori:	von Estorff, Otto, Hagen, Christian
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Oxford Elsevier Ltd 01.08.2005 Elsevier
Predmet:	3D elastodynamics Algorithms BEM Boundary element method Boundary-integral methods Computational techniques Different time steps Domain decomposition Exact sciences and technology FEM Finite element method Fundamental areas of phenomenology (including applications) Iterative coupling Iterative methods Joining Mathematical analysis Mathematical methods in physics Mathematical models Physics Solid mechanics Structural and continuum mechanics Three dimensional Transient analysis Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Iterative coupling 3D elastodynamics BEM Domain decomposition Transient analysis Different time steps FEM Neumann problem Transient response Iterative method Elastic wave Finite element method Boundary value problem Dirichlet problem Elastodynamics Boundary element method
ISSN:	0955-7997, 1873-197X
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Abstract	A domain decomposition approach is presented for the transient analysis of three-dimensional wave propagation problems. The subdomains are modelled using the FEM and/or the BEM, and the coupling of the subdomains is performed in an iterative manner, employing a sequential Neumann–Dirichlet interface relaxation algorithm which also allows for an independent choice of the time step length in each subdomain. The approach has been implemented for general 3D problems. In order to investigate the convergence behaviour of the proposed algorithm, using different combinations of FEM and BEM subdomains, a parametric study is performed with respect to the choice of the relaxation parameters. The validity of the proposed method is shown by means of two numerical examples, indicating the excellent accuracy and applicability of the new formulation.
AbstractList	A domain decomposition approach is presented for the transient analysis of three-dimensional wave propagation problems. The subdomains are modelled using the FEM and/or the BEM, and the coupling of the subdomains is performed in an iterative manner, employing a sequential Neumann–Dirichlet interface relaxation algorithm which also allows for an independent choice of the time step length in each subdomain. The approach has been implemented for general 3D problems. In order to investigate the convergence behaviour of the proposed algorithm, using different combinations of FEM and BEM subdomains, a parametric study is performed with respect to the choice of the relaxation parameters. The validity of the proposed method is shown by means of two numerical examples, indicating the excellent accuracy and applicability of the new formulation.
Author	Hagen, Christian von Estorff, Otto
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Keywords	Iterative coupling 3D elastodynamics BEM Domain decomposition Transient analysis Different time steps FEM Neumann problem Transient response Iterative method Elastic wave Finite element method Boundary value problem Dirichlet problem Elastodynamics Boundary element method
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Snippet	A domain decomposition approach is presented for the transient analysis of three-dimensional wave propagation problems. The subdomains are modelled using the...
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SubjectTerms	3D elastodynamics Algorithms BEM Boundary element method Boundary-integral methods Computational techniques Different time steps Domain decomposition Exact sciences and technology FEM Finite element method Fundamental areas of phenomenology (including applications) Iterative coupling Iterative methods Joining Mathematical analysis Mathematical methods in physics Mathematical models Physics Solid mechanics Structural and continuum mechanics Three dimensional Transient analysis Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Title	Iterative coupling of FEM and BEM in 3D transient elastodynamics
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