Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520780 | Journal of Computational Physics | 2012 | 10 Pages |
Abstract
In this paper, a new Fourier–Legendre spectral element method based on the Galerkin formulation is proposed to solve the Poisson-type equations in polar coordinates. The 1/r singularity at r = 0 is avoided by using Gauss–Radau type quadrature points. In order to break the time-step restriction in the time-dependent problems, the clustering of collocation points near the pole is prevented through the technique of domain decomposition in the radial direction. A number of Poisson-type equations subject to the Dirichlet or Neumann boundary condition are computed and compared with the results in literature, which reveals a desirable result.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Zhouhua Qiu, Zhong Zeng, Huan Mei, Liang Li, Liping Yao, Liangqi Zhang,