On the efficiency of a SOR-like method suited to vector processors

DOI10.1016/0377-0427(91)90196-QzbMath0729.65022OpenAlexW2069263871MaRDI QIDQ806954

Masaaki Sugihara, Yoshio Oyanagi, Seiji Fujino, Masatake Mori

Publication date: 1991

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(91)90196-q

zbMATH Keywords

convergence ratesuccessive overrelaxationPoisson equationsupercomputersvector computersfive point discretizationhyperplane methodnine point discretization

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• Application of variational methods in the fixed and adaptive grid generation
• The parallel execution of DO loops

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