Convergence of the domain decomposition finite element--boundary element coupling methods

DOI10.1016/S0045-7825(02)00405-XzbMath1027.65139MaRDI QIDQ1867618

Yanyan Li

Publication date: 2 April 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

convergencefinite element methodboundary element methoddomain decompositioniterative algorithmscouplingSchwarz Dirichlet-Neumann schemeSchwarz Neumann-Neumann scheme

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (11)

Domain decomposition algorithm for coupling of finite element and boundary element methods ⋮ Finite element-boundary element coupling algorithms for transient elastodynamics ⋮ Interface relaxation algorithms for BEM-BEM coupling and FEM-BEM coupling. ⋮ 3D non-linear time domain FEM-BEM approach to soil-structure interaction problems ⋮ A domain decomposition approach for coupled modelling of nonlinear soil-structure interaction ⋮ Multi-region adaptive finite element-boundary element method for elasto-plastic analysis ⋮ Convergence and the optimal choice of the relaxation parameter for a class of iterative methods ⋮ Iterative coupling of FEM and BEM in 3D transient elastodynamics ⋮ Iterative coupling of FEM and BEM in 3D transient elastodynamics ⋮ Domain Decomposition Schemes Based on the Penalty Method for the Problems of Perfect Contact of Elastic Bodies ⋮ An adaptive domain decomposition coupled finite element-boundary element method for solving problems in elasto-plasticity

Cites Work

• Rheological analysis of tunnel excavations by means of coupled finite element (FEM)-boundary element (BEM) analysis
• The coupling of the finite element method and boundary solution procedures
• An iterative finite element-boundary element algorithm
• ITERATIVE SOLUTION OF COUPLED FE/BE DISCRETIZATIONS FOR PLATE-FOUNDATION INTERACTION PROBLEMS
• Elasto‐plastic analysis of an underground opening by FEM and coupled FEBEM
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