Solution of elliptic PDEs by fast Poisson solvers using a local relaxation factor

DOI10.1016/0021-9991(86)90117-8zbMath0623.65104OpenAlexW2077845440MaRDI QIDQ1091781

Sin-Chung Chang

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90117-8

zbMATH Keywords

relaxationconvergence ratevariable coefficientscyclic reductionfast direct solversNumerical testscomparison with SOR methodsnonseparable equationssemidirect procedures

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Convergence properties of a nonvariational 3D MHD equilibrium code ⋮ High-performance modeling acoustic and elastic waves using the parallel dichotomy algorithm ⋮ A multiscale Darcy-Brinkman model for fluid flow in fractured porous media ⋮ On the product of convex combinations and the Kantorovich inequality

Uses Software

• FISHPAK

Cites Work

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• On the product of convex combinations and the Kantorovich inequality
• Generalizations of two inequalities involving Hermitian forms
• A new approach for solving the three-dimensional steady Euler equations. I. General theory
• A new approach for solving the three-dimensional steady Euler equations. II. Application to secondary flows in a turning channel
• An ad hoc SOR method
• On local relaxation methods and their application to convection-diffusion equations
• Numerical analogs to the Schwarz alternating procedure
• Marching Algorithms for Elliptic Boundary Value Problems. II: The Variable Coefficient Case
• A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
• The Direct Solution of the Discrete Poisson Equation on a Rectangle
• Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations

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