A fast Poisson solver

DOI10.1007/BF01876899zbMath0808.65100OpenAlexW2090712416MaRDI QIDQ1337012

V. Pereyra

Publication date: 16 March 1995

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01876899

zbMATH Keywords

Poisson equationdirect methodChebyshev matrix polynomialsCramer's method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) 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 multiscale Darcy-Brinkman model for fluid flow in fractured porous media ⋮ A hyperbolic Poisson solver for tetrahedral grids

Uses Software

• ELLPACK
• FISHPAK
• YSMP

Cites Work

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• Fast Poisson solvers on general two dimensional regions for the Dirichlet problem
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• Yale sparse matrix package I: The symmetric codes
• The Direct Solution of the Biharmonic Equation on Rectangular Regions and the Poisson Equation on Irregular Regions
• An $O(n^2 )$ Method for Solving Constant Coefficient Boundary Value Problems in Two Dimensions
• Some Aspects of the Cyclic Reduction Algorithm for Block Tridiagonal Linear Systems
• A Cyclic Reduction Algorithm for Solving Block Tridiagonal Systems of Arbitrary Dimension
• An Algorithm for the Machine Calculation of Complex Fourier Series
• 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
• The Direct Solution of the Discrete Poisson Equation on a Disk

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