A High Accuracy Spectral Element Method for Solving Eigenvalue Problems

被引：0
|
作者：
Shan, Weikun [1 ]
Li, Huiyuan [2 ]
机构：
[1] Univ Chinese Acad Sci, Inst Software, Chinese Acad Sci, Beijing, Peoples R China
[2] Chinese Acad Sci, Inst Software, Beijing, Peoples R China
来源：
14TH INTERNATIONAL SYMPOSIUM ON DISTRIBUTED COMPUTING AND APPLICATIONS FOR BUSINESS, ENGINEERING AND SCIENCE (DCABES 2015) | 2015年
关键词：
triangular spectral element method; eigenvalue problem; Koornwinder polynomials; spectral" accuracy; GALERKIN METHODS;
D O I：
10.1109/DCABES.2015.124
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A triangular spectral element method is proposed and analyzed for the Laplacian eigenvalue problem. The method is based on the Galerkin approximation with generalized Koornwinder polynomials. We detailedly describe the approximation scheme and implementation for solving the Laplacian eigenvalue problem. Numerical experiments also indicate that the triangular spectral element method for solving the eigenvalue problems on convex domain has the "spectral" accuracy, that is, exponential convergence rate.
引用
收藏
页码：472 / 476
页数：5
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