Year: 2016
Author: Benyu Guo, Hongli Jia
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 4 : pp. 365–384
Abstract
In this paper, we investigate a new pseudospectral method for mixed boundary value problems defined on quadrilaterals. We introduce a new Legendre-Gauss type interpolation and establish the basic approximation results, which play important roles in pseudospectral method for partial differential equations defined on quadrilaterals. We propose pseudospectral method for two model problems and prove their spectral accuracy. Numerical results demonstrate their high efficiency. The approximation results developed in this paper are also applicable to other problems defined on complex domains.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1602-m4537
Journal of Computational Mathematics, Vol. 34 (2016), Iss. 4 : pp. 365–384
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Legendre-Gauss type interpolation on quadrilaterals Pseudospectral method of mixed boundary value problems.