Satisfaction of boundary conditions for Chebyshev collocation methods in cuboidal domains

DOI10.1016/0898-1221(94)90088-4zbMath0802.65114OpenAlexW2094730533MaRDI QIDQ1328821

Andreas Karageorghis

Publication date: 7 August 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)90088-4

zbMATH Keywords

biharmonic equationcollocationPoisson equationChebyshev spectral methodscuboidal domainssatisfaction of boundary conditionsthree- dimensional elliptic problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Conforming spectral methods for Poisson problems in cuboidal domains ⋮ A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems ⋮ Numerical solution of the 3-D buoyancy driven cavity problem by a pseudospectral method ⋮ A fully conforming spectral collocation scheme for second- and fourth-order problems

Cites Work

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• A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains
• Chebyshev pseudospectral method of viscous flows with corner singularities

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