Successive overrelaxation, multigrid, and preconditioned conjugate gradients algorithms for solving a diffusion problem on a vector computer

DOI10.1016/0096-3003(83)90017-6zbMath0527.65071OpenAlexW2091946085MaRDI QIDQ595356

Roland A. Sweet, John M. Gary, Stephen F. McCormick

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0096-3003(83)90017-6

zbMATH Keywords

diffusion equationmultigridsuccessive overrelaxationcell-centered finite differencefast Poisson solvervector computerconjugate gradients preconditionedsymmetric nonnegative definite matrix

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Periodically preconditioned conjugate gradient-restoration algorithm ⋮ High accuracy multigrid solution of the 3D convection-diffusion equation ⋮ The fast adaptive composite-grid method (FAC): Algorithms for advanced computers ⋮ Fast and high accuracy multigrid solution of the three dimensional Poisson equation

Cites Work

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• Vectorized multigrid Poisson solver for the CDC CYBER 205
• Direct solutions for Poisson's equation in three dimensions
• Unigrid methods for boundary value problems with nonrectangular domains
• The equations of motion for thermally driven, buoyant flows
• The numerical solution of a nonseparable elliptic partial differential equation by preconditioned conjugate gradients
• Multigrid Methods for Variational Problems
• Multi-Level Adaptive Solutions to Boundary-Value Problems

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