Browsing by Subject "Chebyshev approximation"
Now showing items 1-5 of 5
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Article
Conforming Chebyshev spectral methods for Poisson problems in rectangular domains
(1993)Four and six-element conforming domain decomposition techniques are developed for Chebyshev spectral collocation methods for Poisson problems in rectangular domains. The applicability of the methods is demonstrated on ...
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Article
Conforming spectral methods for Poisson problems in cuboidal domains
(1994)A Chebyshev collocation strategy is introduced for the subdivision of cuboids into cuboidal subdomains (elements). These elements are conforming, which means that the approximation to the solution is C0 continuous at all ...
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Article
A fully conforming spectral collocation scheme for second- and fourth-order problems
(1995)A spectral element scheme is presented for the solution of second- and fourth-order problems in two and three space dimensions. This scheme is based on a collocation formulation and, for a certain class of problems, results ...
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Article
High performance solution of partial differential equations discretized using a chebyshev spectral collocation method
(1996)When a Chebyshev spectral collocation method is applied to a flow problem in a rectangularly decomposable domain it leads to the solution of a structured linear system. Since the linear system is solved at each step of a ...
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Article
The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method
(1992)A Chebyshev spectral element collocation method is used for the numerical solution of laminar flow in a re-entrant tube geometry. The high accuracy of the method allows the study of the merging process of the vortices in ...