A fast semi-direct method for the numerical solution of non-separable elliptic equations in irregular domains
type: Item
instance of: scholarly article
title: A fast semi-direct method for the numerical solution of non-separable elliptic equations in irregular domains
zbMATH Open document ID: 0676.65097
DOI: 10.1016/0021-9991(89)90055-7
author: Alejandro Pares-Sierra
author: G. K. Vallis
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: Algorithms for the fast solution of non-separable elliptic equations in two-dimensional, irregular domains, that arise in ocean modelling, are described. The purpose of the paper is to show that in such situations much faster methods can be employed on the base of fast solvers in rectangular regions. The method proposed is a combination of the capacitance matrix method and a fast iteration that uses a fast Poisson solver such as multiple Fourier transforms. Brief reviews of the methods are given and the combinations are outlined without giving proofs of consistency or convergence.
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 4108086
zbMATH Keywords: fast semi-direct method
zbMATH Keywords: Poisson equation
zbMATH Keywords: non-separable elliptic equations
zbMATH Keywords: irregular domains
zbMATH Keywords: ocean modelling
zbMATH Keywords: capacitance matrix method
zbMATH Keywords: fast iteration
zbMATH Keywords: fast Poisson solver
zbMATH Keywords: multiple Fourier transforms
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90055-7
OpenAlex ID: W2115843937
cites work: The Direct Solution of the Discrete Poisson Equation on Irregular Regions
cites work: Numerical Solution of Helmholtz's Equation by Implicit Capacitance Matrix Methods
cites work: Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations
cites work: The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
cites work: Q5821083
cites work: On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
cites work: Q3687572
Wikidata QID: Q57925813
description: scientific article; zbMATH DE number 4108086