A domain decomposition method based on BEM and FEM for linear exterior boundary value problems

DOI10.1006/jmaa.2001.7537zbMath0987.65130OpenAlexW2002488900MaRDI QIDQ5952256

George C. Hsiao, Gabriel N. Gatica, Mario E. Mellado

Publication date: 9 June 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7537

zbMATH Keywords

algorithmpotential theorydomain decompositionheat conductionparallel computationpreconditioned conjugate gradient methodDirichlet-to-Neumann mappinglinear exterior boundary value problemsRichardson type schemeSteklov-Poincare problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

A nonoverlapping domain decomposition method for an exterior anisotropic quasilinear elliptic problem in elongated domains ⋮ Evaluation of well performance using the coupling of boundary element with finite element methods ⋮ Multiple traces boundary integral formulation for Helmholtz transmission problems

Cites Work

• Fast parallel solvers for symmetric boundary element domain decomposition equations
• Boundary element discretization of Poincaré-Steklov operators
• Combination of mixed finite element and Dirichlet-to-Neumann methods in nonlinear plane elasticity
• A domain decomposition method for linear exterior boundary value problems
• On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in \(\mathbb{R}^ 2\)
• The uncoupling of boundary integral and finite element methods for nonlinear boundary value problems
• On the Coupling of Boundary Integral and Finite Element Methods
• The Approximation of the Exact Boundary Conditions at an Artificial Boundary for Linear Elastic Equations and its Application
• Optimal Order Multigrid Methods for Solving Exterior Boundary Value Problems
• Coupling of Mixed Finite Elements and Boundary Elements for A Hyperelastic Interface Problem
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
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