Basic smoothing procedures for the multigrid treatment of elliptic 3D operators

DOI10.1016/0096-3003(86)90112-8zbMath0612.65065OpenAlexW1998376646MaRDI QIDQ1088389

Clemens-August Thole, Ulrich Trottenberg

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0096-3003(86)90112-8

zbMATH Keywords

smoothingrelaxationanisotropyconvergence ratemultigrid methodsPoisson equationcoarsening

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (15)

Robustness of the additive and multiplicative frequency decomposition multi-level method ⋮ An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media ⋮ The convergence of parallel multiblock multigrid methods ⋮ A simple cell-centered multigrid method for 3D interface problems ⋮ A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions ⋮ Advances in iterative methods and preconditioners for the Helmholtz equation ⋮ Fast and high accuracy multiscale multigrid method with multiple coarse grid updating strategy for the 3D convection-diffusion equation ⋮ Geometric multigrid with applications to computational fluid dynamics ⋮ MUDPACK-2: Multigrid software for approximating elliptic partial differential equations on uniform grids with any resolution ⋮ Fast and robust sixth-order multigrid computation for the three-dimensional convection-diffusion equation ⋮ Robust multigrid algorithms for the Navier-Stokes equations ⋮ MUDPACK: Multigrid portable FORTRAN software for the efficient solution of linear elliptic partial differential equations ⋮ An efficient multigrid method with preconditioned smoother for two-dimensional anisotropic space-fractional diffusion equations ⋮ Modified multigrid for 3D elliptic equations with cross-derivatives ⋮ Recent enhancements in MUDPACK, a multigrid software package for elliptic partial differential equations

Cites Work

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• Multi-grid solution of three-dimensional problems with discontinuous coefficients
• Multigrid methods. Proceedings of the Conference Held at Köln-Porz, November 23-27, 1981

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