On a fast direct elliptic solver by a modified Fourier method

DOI10.1023/A:1019106223154zbMath0892.65069OpenAlexW1621158592MaRDI QIDQ1381378

L. Vozovoi, Amir Z. Averbuch, Moshe Israeli

Publication date: 15 July 1998

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019106223154

zbMATH Keywords

algorithmscorner singularitiesHelmholtz equationFourier methodfast solversubtraction technique

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Asymptotic Fourier coefficients for a \(C^\infty\) bell (smoothed-``top-hat) \& the Fourier extension problem, A fast 3D Poisson solver of arbitrary order accuracy, Non-orthogonal multiple-relaxation-time lattice Boltzmann method for vorticity-streamfunction formulation, A novel lattice Boltzmann model for the Poisson equation, A Fourier Extension Based Numerical Integration Scheme for Fast and High-Order Approximation of Convolutions with Weakly Singular Kernels, A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds

Cites Work

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• A Fast Poisson Solver of Arbitrary Order Accuracy in Rectangular Regions
• Analysis and Application of Fourier–Gegenbauer Method to Stiff Differential Equations
• On the numerical treatment of singularities in solutions of laplace's equation
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