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Zbl 1037.65130
Elleithy, Wael M.; Tanaka, Masataka
Interface relaxation algorithms for BEM-BEM coupling and FEM-BEM coupling. (English)
[J] Comput. Methods Appl. Mech. Eng. 192, No. 26-27, 2977-2992 (2003). ISSN 0045-7825

Summary: This paper presents several interface relaxation algorithms for boundary element--boundary element coupling (BEM-BEM) and for finite element--boundary element coupling (FEM-BEM). The domain of the original problem is sub-divided into sub-domains, which are modeled by the finite element or boundary element methods. The multi-domain system is coupled using smoothing operators on the inter-domain boundaries. \par Separate computations for the BEM and FEM sub-domains and successive update of the boundary conditions at the interfaces are performed until convergence is achieved. The interface relaxation coupling algorithms preserve the nature of the FEM and BEM. Further, they do not require any access to the matrices generated by the FEM or BEM and make it easier to utilize different software in different sub-domains.

MSC 2000:: *65N55 Multigrid methods; domain decomposition (BVP of PDE)
35J05 Laplace equation, etc.
65N30 Finite numerical methods (BVP of PDE)
65N38 Boundary element methods (BVP of PDE)
65N12 Stability and convergence of numerical methods (BVP of PDE)

Keywords: Boundary element method; Finite element method; Interface relaxation; Coupling; domain decomposition; numerical examples; Laplace equation; algorithms; smoothing operators; convergence

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Zentralblatt MATH Berlin [Germany]