A NEW PSEUDOSPECTRAL METHOD ON QUADRILATERALS  

作　　者：Benyu Guo Hongli Jia 

机构地区：[1]Shanghai Normal University, 200234, Shanghai, P.R. China [2]Scientific Computing Key Laboratory of Shanghai Universities [3]Division of Computational Science of E-institute of Shanghai Universities [4]Department of Mathematics, Donghua University, 200065, Shanghai, P.R. China

出　　处：《Journal of Computational Mathematics》2016年第4期365-384,共20页计算数学（英文）

摘　　要：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 pseudospee- tral 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.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 pseudospee- tral 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.

关 键 词：Legendre-Gauss type interpolation on quadrilaterals Pseudospectral methodof mixed boundary value problems. 

分 类 号：O175.25[理学—数学] O175.2[理学—基础数学]