The Poisson equation on the unit disk: A multigrid solver using polar coordinates

DOI10.1016/0096-3003(88)90110-5zbMath0636.65104OpenAlexW2092789521MaRDI QIDQ1098253

Saulo R. M. Barros

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0096-3003(88)90110-5

zbMATH Keywords

comparison of methodsnumerical examplesPoisson equationpolar coordinatesmultigrid solver

Mathematics Subject Classification ID

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

Related Items (5)

Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications ⋮ Solver comparison for Poisson-like equations on tokamak geometries ⋮ A geometric multigrid library for quadtree/octree AMR grids coupled to MPI-AMRVAC ⋮ Numerical methods for two-dimensional stem cell tissue growth ⋮ Multigrid methods for two- and three-dimensional Poisson-type equations on the sphere

Uses Software

• FISHPAK

Cites Work

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• Iterated deferred corrections for nonlinear boundary value problems

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