An iterative boundary potential method for the infinite domain Poisson problem with interior Dirichlet boundaries

DOI10.1016/j.jcp.2008.05.005zbMath1145.65104OpenAlexW1998288675MaRDI QIDQ935328

Gregory Hale Miller

Publication date: 6 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.05.005

zbMATH Keywords

numerical examplesadaptive mesh refinementparallel computationmultigridfast multipole methodPoisson probleminfinite domainembedded boundary method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Parallel implementation of a viscous vorticity equation (VISVE) method in 3-D laminar flow ⋮ An immersed interface solver for the 2-D unbounded Poisson equation and its application to potential flow ⋮ Fast Computation of Domain Boundary Conditions Using Splines in Penalized VIC Method ⋮ Fast immersed interface Poisson solver for 3D unbounded problems around arbitrary geometries ⋮ A completely iterative method for the infinite domain electrostatic problem with nonlinear dielectric media ⋮ A 2D immersed interface vortex particle-mesh method ⋮ A Neumann-Neumann preconditioned iterative substructuring approach for computing solutions to Poisson's equation with prescribed jumps on an embedded boundary ⋮ A novel numerical method for infinite domain potential problems

Cites Work

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• Rapid solution of integral equations of classical potential theory
• The solution of Poisson's equation for isolated source distributions
• A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
• A fast adaptive multipole algorithm in three dimensions
• A local corrections algorithm for solving Poisson's equation in three dimensions
• A Cartesian grid embedded boundary method for the heat equation and Poisson's equation in three dimensions
• A Cartesian grid embedded boundary method for hyperbolic conservation laws
• The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
• A Cartesian grid embedded boundary method for the heat equation on irregular domains

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