A Local Relaxation Method for Solving Elliptic PDE<scp>s</scp> on Mesh-Connected Arrays

DOI10.1137/0908051zbMath0622.65090OpenAlexW2058075178MaRDI QIDQ3759868

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Publication date: 1987

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0908051

zbMATH Keywords

parallel computationdigital signal processingsuccessive over-relaxationmesh-connected processor arrayslocal relaxation methodFourier analysis approach

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (10)

Parallel elliptic preconditioners: Fourier analysis and performance on the connection machine ⋮ A geometric projection-space reconstruction algorithm ⋮ On nonlinear SOR-like methods. II: Convergence of the SOR-Newton method for mildly nonlinear equations ⋮ Two-colour Fourier analysis of the multigrid method with red-black Gauss- Seidel smoothing ⋮ Main convergence theorems for the improved sor method with orderings ⋮ Lower eigenvalue bounds for singular pencils of matrices ⋮ Adaptive improved block SOR method with orderings ⋮ On nonlinear SOR-like methods. III: Global convergence of SOR, SSOR and USSOR methods for convex problems ⋮ Basic Lul Factorization And Improved Iterative Method With Orderings ⋮ Improved SOR method with orderings and direct methods

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