Analytic inversion of the five-point Poisson operator

DOI10.1016/0021-9991(71)90029-5zbMath0226.65066OpenAlexW2066973434MaRDI QIDQ2549233

Yanyan Li

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-9991(71)90029-5

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Green's functions for ordinary differential equations (34B27) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (14)

Extended similarity trees ⋮ A fast lattice Green's function method for solving viscous incompressible flows on unbounded domains ⋮ A parallel fast multipole method for elliptic difference equations ⋮ Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions ⋮ On the convergence of the conjugate gradient method for singular capacitance matrix equations from the Neumann problem of the Poisson equation ⋮ Fast Poisson solvers on general two dimensional regions for the Dirichlet problem ⋮ Lattice Green’s Functions for High-Order Finite Difference Stencils ⋮ A locally refined rectangular grid finite element method: Application to computational fluid dynamics and computational physics ⋮ PoisFFT -- a free parallel fast Poisson solver ⋮ A note on \(M\)-convexity in polyhedral split decomposition of distances ⋮ The solution of Poisson's equation for isolated source distributions ⋮ A fast-adaptive composite grid algorithm for solving the free-space Poisson problem on the cell broadband engine ⋮ Subgrid resolution of flow and force fields ⋮ Inversion of Lewis' Poisson operator

Cites Work

• Numerical Simulation of Warm Two-Beam Plasma
• Unnamed Item

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