Year: 2015
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 4 : pp. 664–683
Abstract
In this paper, we investigate a spectral method for mixed boundary value problems defined on hexahedrons. Some results on irrational orthogonal approximation are established, which play important roles in numerical solutions of partial differential equations defined on hexahedrons. As examples of applications, we provide spectral schemes for two model problems, and prove their spectral accuracy. Efficient numerical implementations are described. Numerical results demonstrate the high efficiency of suggested algorithms.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2015-IJNAM-506
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 4 : pp. 664–683
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Irrational orthogonal approximation spectral method on hexahedrons mixed boundary value problems.