Direct solution of the discretized Poisson-Neumann problem on a domain composed of rectangles

DOI10.1016/0021-9991(82)90001-8zbMath0491.65055OpenAlexW2010091769MaRDI QIDQ1167521

S. Singh

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90001-8

zbMATH Keywords

consistency conditiondirect solutionfast elliptic solversdomain composed of rectanglesinfluence- or capacitance-matrix techniquetwo-dimensional Poisson- Neumann problem

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

A discrete isoperimetric inequality on lattices ⋮ Simulation of turbulent thermal convection in complicated domains

Cites Work

• Fast elliptic solvers and three-dimensional fluid-structure interactions in a pressurized water reactor
• Fast direct numerical solution of the nonhomogeneous Cauchy-Riemann equations
• Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions

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