The non-overlapping domain decomposition multiplicative schwarz method

DOI10.1080/00207169208804106zbMath0758.65024OpenAlexW2101973380MaRDI QIDQ4021068

Ulrich Langer, Gundolf Haase

Publication date: 17 January 1993

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804106

zbMATH Keywords

finite elementsdomain decompositionparallel algorithmspreconditionerssubstructuringalternating Schwarz method

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)

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Cites Work

• The Neumann-Dirichlet domain decomposition method with inexact solvers on the subdomains
• A capacitance matrix method for Dirichlet problem on polygon region
• A parallel preconditioned conjugate gradient method using domain decomposition and inexact solvers on each subdomain
• A parallel finite element solution method
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