Application of the multigrid method to Poisson's equation in boundary- fitted coordinates

DOI10.1016/0021-9991(83)90068-2zbMath0515.65069OpenAlexW1990365916MaRDI QIDQ1052059

Samuel Ohring

Publication date: 1983

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(83)90068-2

zbMATH Keywords

Poisson's equationmultigrid methodsboundary-fitted coordinates

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Efficient three-dimensional Poisson solvers in open rectangular conducting pipe ⋮ A fast parallel 3D Poisson solver with longitudinal periodic and transverse open boundary conditions for space-charge simulations ⋮ Three-dimensional Poisson solver for a charged beam with large aspect ratio in a conducting pipe ⋮ Parallel 3D Poisson solver for a charged beam in a conducting pipe

Cites Work

• Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• Numerical Solution of the Incompressible Navier-Stokes Equations in Doubly-Connected Regions
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