Spherical harmonic-generalized Laguerre pseudospectral method for three-dimensional exterior problems

Abstract

In this paper, we develop the mixed pseudospectral method for three-dimensional exterior problems. Some basic results on the mixed spherical harmonic-generalized Laguerre interpolation are established, which play important roles in the related pseudospectral methods. As examples, we provide the mixed pseudospectral schemes for two exterior problems with convergence analysis. Numerical results demonstrate the efficiency of this approach.

Spectral and pseudospectral methods for unbounded domains

“…Zhang 和 Guo [119] 应用 Laguerre-球面调和混合逼近计算三维外部问 题. Zhang 等人 [120] 研究了二维外部问题的广义 Laguerre-Fourier 混合谱和拟谱方法. 文献 [121,122] 应 用广义 Laguerre 函数和球面调和函数建立了计算三维外部问题的混合谱和拟谱方法. 文献 [123,124] 建立了 Navier-Stokes 方程外部问题的混合谱方法.…”