A fast elliptic solver for simply connected domains

DOI10.1016/0010-4655(89)90063-5zbMath0798.65096OpenAlexW1987488337MaRDI QIDQ1330613

V. Pereyra

Publication date: 30 October 1994

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(89)90063-5

zbMATH Keywords

numerical experimentsfast Fourier transformsparallel computationLaplace equationPoisson equationHelmholtz equationsconformal transformationrapid elliptic solvers

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (1)

Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method

Cites Work

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• Iterative Methods for Solving Bordered Systems with Applications to Continuation Methods
• A Fast Cauchy-Riemann Solver
• A Numerical Method for Conformal Mappings
• Numerical Solution of Steady State Heat Flow Problems Over Curved Domains
• High Order Fast Laplace Solvers for the Dirichlet Problem on General Regions
• Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming
• Numerical Conformal Mapping
• On Fourier-Toeplitz Methods for Separable Elliptic Problems
• The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
• The Direct Solution of the Discrete Poisson Equation on a Disk

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