A domain decomposition method using efficient interface-acting preconditioners

DOI10.1090/S0025-5718-04-01706-5zbMath1072.65162MaRDI QIDQ4671836

Serge Kräutle

Publication date: 27 April 2005

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

numerical resultsdomain decompositionpreconditioningfast Fourier transformPoisson equationparallelizationsymmetric elliptic problemsfinite element tearing and interconnecting methodChebyshev spectral solversconjugate gradient boundary iterationlinear finite element solvers

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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)

Related Items (1)

A posteriori error analysis for two non-overlapping domain decomposition techniques

Cites Work

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• Non-overlapping domain decomposition for evolution operators
• Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions
• On the convergence of a dual-primal substructuring method

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