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Volume 34, Issue 4
A New Pseudospectral Method on Quadrilaterals

Benyu Guo & Hongli Jia

DOI: 10.4208/jcm.1602-m4537

J. Comp. Math., 34 (2016), pp. 365-384.

Published online: 2016-08

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  • 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.

  • Keywords

Legendre-Gauss type interpolation on quadrilaterals, Pseudospectral method of mixed boundary value problems.

  • AMS Subject Headings

65N35, 41A30, 35J05.

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

byguo@shnu.edu.cn (Benyu Guo)

hjia@dhu.edu.cn (Hongli Jia)

  • BibTex
  • RIS
  • TXT
@Article{JCM-34-365, author = {Guo , Benyu and Jia , Hongli}, title = {A New Pseudospectral Method on Quadrilaterals}, journal = {Journal of Computational Mathematics}, year = {2016}, volume = {34}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1602-m4537}, url = {http://global-sci.org/intro/article_detail/jcm/9801.html} }
TY - JOUR T1 - A New Pseudospectral Method on Quadrilaterals AU - Guo , Benyu AU - Jia , Hongli JO - Journal of Computational Mathematics VL - 4 SP - 365 EP - 384 PY - 2016 DA - 2016/08 SN - 34 DO - http://doi.org/10.4208/jcm.1602-m4537 UR - https://global-sci.org/intro/article_detail/jcm/9801.html KW - Legendre-Gauss type interpolation on quadrilaterals, Pseudospectral method of mixed boundary value problems. AB -

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.

Guo , Benyu and Jia , Hongli. (2016). A New Pseudospectral Method on Quadrilaterals. Journal of Computational Mathematics. 34 (4). 365-384. doi:10.4208/jcm.1602-m4537
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