Elleithy, Wael M.; Tanaka, Masataka Interface relaxation algorithms for BEM-BEM coupling and FEM-BEM coupling. (English) Zbl 1037.65130 Comput. Methods Appl. Mech. Eng. 192, No. 26-27, 2977-2992 (2003). 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.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. Cited in 13 Documents MSC: 65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N38 Boundary element methods for boundary value problems involving PDEs 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs Keywords:Boundary element method; Finite element method; Interface relaxation; Coupling; domain decomposition; numerical examples; Laplace equation; algorithms; smoothing operators; convergence PDFBibTeX XMLCite \textit{W. M. Elleithy} and \textit{M. Tanaka}, Comput. Methods Appl. Mech. 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