Chebyshev expansion methods for the solution of elliptic partial differential equations

DOI10.1016/0021-9991(81)90105-4zbMath0462.65062OpenAlexW2009181685MaRDI QIDQ1152938

S. H. Smith

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90105-4

zbMATH Keywords

comparisonnumerical resultsPoisson's equationglobal element methodexpansion in Chebyshev polynomials

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

The errors estimation of the Chebyshev spectral-difference method for two-dimensional vorticity equation ⋮ The global element method applied to fluid flow problems ⋮ Spectral multigrid methods for elliptic equations ⋮ The calculation of singular coefficients ⋮ Chebyshev expansion methods for the solution of the extended Graetz problem

Cites Work

• The global element method applied to a harmonic mixed boundary value problem
• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• The global element method for stationary advective problems
• An Implicit Matching Principle for Global Element Calculations
• A Fast Implementation of the Global Element Method

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