A fast semi-direct method for the numerical solution of non-separable elliptic equations in irregular domains

DOI10.1016/0021-9991(89)90055-7zbMath0676.65097OpenAlexW2115843937WikidataQ57925813 ScholiaQ57925813MaRDI QIDQ1122957

Alejandro Pares-Sierra, Geoffrey K. Vallis

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90055-7

zbMATH Keywords

Poisson equationirregular domainsfast Poisson solverfast iterationcapacitance matrix methodfast semi-direct methodmultiple Fourier transformsnon-separable elliptic equationsocean modelling

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) 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)

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Cites Work

• On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
• Numerical Solution of Helmholtz's Equation by Implicit Capacitance Matrix Methods
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
• Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations
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