A study of some multigrid ideas

DOI10.1016/0096-3003(85)90025-6zbMath0608.65050OpenAlexW2071458353MaRDI QIDQ1085954

David Kamowitz, Seymour V. Parter

Publication date: 1985

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

Full work available at URL: http://digital.library.wisc.edu/1793/58528

zbMATH Keywords

convergence ratesnumerical examplesfinite-differencemultigridsmoothing operatorprojection operatorinterpolation operatorJacobi iterations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Remarks on multigrid convergence theorems ⋮ Estimates for multigrid methods based on red-black Gauss-Seidel smoothings ⋮ Multigrid applied to singular perturbation problems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations ⋮ A note on convergence of the multigrid V-cycle

Cites Work

• Black box multigrid
• On the multi-grid method applied to difference equations
• Generalized series solution of an almost periodic differential equation
• Multigrid Methods for Variational Problems: Further Results
• Analysis of a Multigrid Method as an Iterative Technique for Solving Linear Systems
• Multigrid Methods for Variational Problems: General Theory for the V-Cycle
• Convergence of Multi-Grid Iterations Applied to Difference Equations
• The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
• Multigrid Methods for Variational Problems
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• On the l 2 Convergence of an Algorithm for Solving Finite Element Equations
• A relaxation method for solving elliptic difference equations
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