Symmetric marching technique for the discretized Poisson equation

DOI10.1016/0096-3003(83)90006-1zbMath0513.65065OpenAlexW2084089669MaRDI QIDQ1050746

J. Blot

Publication date: 1983

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(83)90006-1

zbMATH Keywords

numerical experimentsPoisson equationmesh refinementsymmetric marching technique

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

On fast direct methods for solving elliptic equations over nonrectangular regions ⋮ GPU-advanced 3D electromagnetic simulations of superconductors in the Ginzburg-Landau formalism ⋮ Fast elliptic solvers - an overview ⋮ Symmetric marching technique and elliptic equations with variable coefficients involving mixed partial derivatives

Cites Work

• Unnamed Item
• Mesh refinement and local inversion of elliptic partial differential equations
• Inversion of Lewis' Poisson operator
• Marching Algorithms for Elliptic Boundary Value Problems. I: The Constant Coefficient Case
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• The Direct Solution of the Discrete Poisson Equation on a Rectangle
• On Direct Methods for Solving Poisson’s Equations

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