Pseudospectral method for quadrilaterals

[摘要] In this paper, we investigate the pseudospectral method on quadrilaterals. Some results on Legenclre-Gauss-type interpolation are established, which play important roles in the pseudospectral method for partial differential equations defined on quadrilaterals. As examples of applications, we propose pseudospectral methods for two model problems and prove their spectral accuracy in space. Numerical results demonstrate the efficiency of the suggested algorithms. The approximation results and techniques developed in this paper are also applicable to other problems defined on quadrilaterals. (C) 2011 Elsevier B.V. All rights reserved.

[发布日期] 2011-10-01

[效力级别]  Proceedings Paper

[关键词] Legendre-Gauss-type interpolation on quadrilaterals;Pseudospectral method