Essential imposition of Neumann condition in Galerkin--Legendre elliptic solvers

DOI10.1016/S0021-9991(02)00064-5zbMath1017.65093OpenAlexW2021953884MaRDI QIDQ1873320

F. Auteri, Luigi Quartapelle, Nicola Parolini

Publication date: 20 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-9991(02)00064-5

zbMATH Keywords

numerical resultsNeumann boundary conditionHelmholtz equationPoisson equationseparation of variablesdiagonalization algorithmsolverGalerkin-Legendre spectral methoddirect product structurefast elliptic spectrallifting of the nonhomogeneous Neumann datum

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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Cites Work

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• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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