Fast spectral solver for Poisson equation in an annular domain

被引：0
|
作者：
Lin, T-S [1 ]
He, C-Y [1 ]
Hu, W-F [2 ]
机构：
[1] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu 300, Taiwan
[2] Natl Chung Hsing Univ, Dept Appl Math, Taichung 402, Taiwan
来源：
ANNALS OF MATHEMATICAL SCIENCES AND APPLICATIONS | 2020年 / 5卷 / 01期
关键词：
fast Fourier transform; ultraspherical spectral method; fast Poisson solver; annular domain; POLAR;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A simple and efficient spectral method is formulated to solve Poisson equation in an annular domain. The solver relies on the Fourier expansion, where the differential equations for the Fourier coefficients are solved using an ultraspherical spectral method. For a domain with N grid points in the polar direction and M grid points in the radial direction, the solver only requires O(NM log(2) N) arithmetic operations.
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页码：65 / 74
页数：10
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