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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Vydáno v:Engineering analysis with boundary elements Ročník 29; číslo 8; s. 775 - 787
Hlavní autoři: von Estorff, Otto, Hagen, Christian
Médium: Journal Article
Jazyk:angličtina
Vydáno: Oxford Elsevier Ltd 01.08.2005
Elsevier
Témata:
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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Popis
Shrnutí: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.
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ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2005.04.004