A quasi-direct fast Poisson solver for general regions

DOI10.1016/0377-0427(89)90319-1zbMath0686.65068OpenAlexW2058610635MaRDI QIDQ1262720

Werner Liniger

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0377-0427(89)90319-1

zbMATH Keywords

convergence ratesDirichlet problemconjugate gradient methodtest problemsfast Poisson solvergeneral regionsconsistent factored distretizationshigh-order preconditionerunsymmetrical preconditioner

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

A multiscale Darcy-Brinkman model for fluid flow in fractured porous media ⋮ A second-order sparse factorization method for Poisson's equation with mixed boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Second Order Strongly Implicit Symmetric Factorization Methods for the Solution of Elliptic Difference Equations
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A class of first order factorization methods
• A New Technique for Solving Elliptic Partial Differential Equations
• An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations
• Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations
• A generalized SSOR method

This page was built for publication: A quasi-direct fast Poisson solver for general regions