Optimum iterative methods for the solution of singular linear systems arising from the discretization of elliptic P.D.E.'s

DOI10.1016/0377-0427(85)90027-5zbMath0577.65031OpenAlexW1998872419MaRDI QIDQ1065499

Apostolos Hadjidimos

Publication date: 1985

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(85)90027-5

zbMATH Keywords

periodic boundary conditionssuccessive overrelaxationPoisson equationDirichletNeumannChebyshev semi-iterative methodJacobi overrelaxationOptimal convergence rates

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

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• The Tchebychev iteration for nonsymmetric linear systems
• On the optimization of a class of second order iterative schemes
• A second order stationary scheme for complex linear systems
• On the Optimization of the Classical Iterative Schemes for the Solution of Complex Singular Linear Systems
• On complex successive overrelaxation
• Optimal Parameters for Linear Second-Degree Stationary Iterative Methods

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