A High Accuracy Spectral Element Method for Solving Eigenvalue Problems

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.

关键词： triangular spectral element method eigenvalue problem Koornwinder polynomials spectral accuracy

作者: Weikun Shan Huiyuan Li

作者单位: Institute of Software,Chinese Academy of Sciences University of Chinese Academy of Sciences Beijing, Institute of Software,Chinese Academy of Sciences Beijing,China

会议类型: 国际会议

会议名称: The 14th International Symposium on Distributed Computing and Applications to Business,Engineering and Science(DCABES 2015)(第十四届分布式计算及其应用国际学术研讨会)

会议地点: 贵阳

会议语种:英文

页码: 472-476

在线出版日期: 2015-08-18（万方平台首次上网日期，不代表论文的发表时间）