VML: a class of virtual multi-level iterative methods for solving partial differential equations

DOI10.1016/S0096-3003(97)10038-8zbMath0942.65035OpenAlexW2036883861MaRDI QIDQ1294448

Jun Zhang

Publication date: 24 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(97)10038-8

zbMATH Keywords

smoothingnumerical experimentsmultigrid methodPoisson equationrelaxation schemesresidual norm minimizationvirtual multilevel iterative methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Uses Software

• Wesseling

Cites Work

• Parallel implementation of a multigrid method on the experimental lCAP supercomputer
• Hybrid procedures for solving linear systems
• Minimal residual smoothing in multi-level iterative method
• Residual smoothing and peak/plateau behavior in Krylov subspace methods
• Multigrid solution and grid redistribution for convection-diffusion
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Residual Smoothing Techniques for Iterative Methods
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