The convergence of parallel multiblock multigrid methods

DOI10.1016/0168-9274(95)00020-UzbMath0853.65131OpenAlexW2071932624MaRDI QIDQ1917407

Cornelis W. Oosterlee

Publication date: 5 January 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00020-u

zbMATH Keywords

convergenceconvection-diffusion equationEuler equationsGauss-Seidel relaxationparallel multiblock multigrid methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Related Items (10)

Multigrid preconditioners for anisotropic space-fractional diffusion equations ⋮ \(hp\)-Multigrid as Smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. I: Multilevel analysis ⋮ Advances in iterative methods and preconditioners for the Helmholtz equation ⋮ All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations ⋮ Geometric multigrid with applications to computational fluid dynamics ⋮ From multi- to single-grid CFD on massively parallel computers: numerical experiments on lid-driven flow in a cube using pressure-velocity coupled formulation ⋮ Robust multigrid algorithms for the Navier-Stokes equations ⋮ Parallel Multiblock Multigrid Algorithms for Poroelastic Models ⋮ An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations ⋮ Robust multigrid methods for nonsmooth coefficient elliptic linear systems

Uses Software

• CPMG
• Wesseling

Cites Work

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• A new multigrid approach to convection problems
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• A multigrid algorithm for parallel computers: CPMG
• Portable programming with the PARMACS message-passing library
• Multigrid methods on parallel computers—A survey of recent developments
• The Improved Robustness of Multigrid Elliptic Solvers Based on Multiple Semicoarsened Grids
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• On the Robustness of a Multiple Semi‐coarsened Grid Method

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