A domain decomposition method for linear exterior boundary value problems
DOI10.1016/S0893-9659(98)00093-7zbMath0940.65132OpenAlexW2069957608MaRDI QIDQ1808568
E. C. Hernandez, Gabriel N. Gatica, Mario E. Mellado
Publication date: 25 November 1999
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0893-9659(98)00093-7
potential theorydomain decompositionnumerical experimentsRichardson methodfinite elementheat conductivityPoisson equationparallel computationsDirichlet-to-Neumann mappinglinear exterior boundary value problemsboundary integral equation methodsDirichlet-Robin-type preconditioneriteration-by-subdomains algorithmSteklov-Poincaré operators
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items (2)
Cites Work
- A relaxation procedure for domain decomposition methods using finite elements
- A finite element method for some integral equations of the first kind
- A domain decomposition method for linear exterior boundary value problems
- The uncoupling of boundary integral and finite element methods for nonlinear boundary value problems
- Optimal Order Multigrid Methods for Solving Exterior Boundary Value Problems
- Preconditioning for boundary element methods in domain decomposition
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