A Variational Formulation for the Chebyshev Pseudospectral Approximation of Neumann Problems

DOI10.1137/0727041zbMath0702.65090OpenAlexW2006275642MaRDI QIDQ3481191

Daniele Funaro

Publication date: 1990

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0727041

zbMATH Keywords

stabilityconvergencenumerical resultsweighted Sobolev spacesvariational formulationPoisson equationChebyshev nodescollocation schemeGauss-Lobatto nodespseudospectral approximationDirichlet-Neumann boundary conditions

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) Variational methods for second-order elliptic equations (35J20)

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