A finite difference domain decomposition method using local corrections for the solution of Poisson's equation

DOI10.1006/jcph.2002.7068zbMath1003.65140OpenAlexW2045556447MaRDI QIDQ697754

Phillip Colella, Gregory T. Balls

Publication date: 17 September 2002

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

Full work available at URL: https://doi.org/10.1006/jcph.2002.7068

zbMATH Keywords

algorithmnumerical examplesparallel computationerror boundPoisson equationfinite differencedomain decomposition methodinfinite domainmethod of local corrections

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

A domain-decomposition method to implement electrostatic free boundary conditions in the radial direction for electric discharges ⋮ A vortex particle-mesh method for subsonic compressible flows ⋮ A completely iterative method for the infinite domain electrostatic problem with nonlinear dielectric media ⋮ An iterative boundary potential method for the infinite domain Poisson problem with interior Dirichlet boundaries ⋮ Computation of volume potentials on structured grids with the method of local corrections ⋮ A parallel 3D Poisson solver for space charge simulation in cylindrical coordinates ⋮ An unsplit, cell-centered Godunov method for ideal MHD ⋮ Investigation of the pressure–strain-rate correlation and pressure fluctuations in convective and near neutral atmospheric surface layers ⋮ A strongly coupled Eulerian Lagrangian method verified in 2D external compressible flows

Uses Software

• MPI

Cites Work

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• Efficient run-time support for irregular block-structured applications
• A fast adaptive vortex method in three dimensions
• A direct adaptive Poisson solver of arbitrary order accuracy
• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
• A Domain Decomposition Algorithm Using a Hierarchical Basis
• A fast algorithm for particle simulations

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