Pseudospectral method for quadrilaterals
Pseudospectral method for quadrilaterals
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DOI：
10.1016/j.cam.2011.04.027
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发表时间：
2011-10
期刊：
影响因子：
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通讯作者：
B. Guo;Hong-Li Jia
中科院分区：
文献类型：
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作者：
B. Guo;Hong-Li Jia
本文研究了四边形上的伪谱方法。建立了关于legende - gaus型插值的一些结果，这些结果在求解四边形上的偏微分方程的伪谱方法中具有重要意义。作为应用实例，我们提出了两个模型问题的伪光谱方法，并证明了它们在空间上的光谱精度。数值结果验证了所提算法的有效性。本文的近似结果和方法也适用于其他四边形上的问题。
In this paper, we investigate the pseudospectral method on quadrilaterals. Some results on Legendre–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.