Numerical solution of non-separable elliptic equations by the iterative application of FFT methods

DOI10.1080/00207169508804376zbMath0833.65114OpenAlexW2014836936MaRDI QIDQ4847147

W. M. Pickering, Peter John Harley

Publication date: 14 March 1996

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169508804376

zbMATH Keywords

convergencenumerical resultsPoisson's equationHelmholtz equationdirect methodsFFT methodsBunemann (cyclic reduction) algorithmD'yakonov-Gunn iterationnon-separable (selfadjoint) elliptic equationsvariable shift

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) 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)

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