On the acceleration of the preconditioned simultaneous displacement method

DOI10.1016/0378-4754(81)90058-6zbMath0465.65017OpenAlexW2029579031MaRDI QIDQ1154780

David J. Evans, Nikolaos M. Missirlis

Publication date: 1981

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(81)90058-6

zbMATH Keywords

Dirichlet problemnumerical experimentsrates of convergenceLaplace's equationpreconditioned simultaneous displacement methodSOR methodvariable extrapolation method

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)

Related Items (6)

Extensions of the Ostrowski-Reich theorem ⋮ On the acceleration of the preconditioned simultaneous displacement method ⋮ The impact of eigenvalue locality on the convergence behavior of the PSD method for two-cyclic matrices ⋮ Convergence of a parallel jacobi-type method ⋮ Accelerated diffusion algorithms for dynamic load balancing. ⋮ A comparison of rates of convergence for the modified alternating direction preconditioning (MADP) method

Cites Work

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• A Comparison of the Successive Overrelaxation Method and Semi-Iterative Methods Using Chebyshev Polynomials
• The Use of Pre-conditioning in Iterative Methods for Solving Linear Equations with Symmetric Positive Definite Matrices
• Ordering of the iterative parameters in the cyclical Chebyshev iterative method
• Methods of conjugate gradients for solving linear systems
• On Richardson's Method for Solving Linear Systems with Positive Definite Matrices
• On the Numerical Solution of Elliptic Difference Equations

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