SUPER-GEOMETRIC CONVERGENCE OF A SPECTRAL ELEMENT METHOD FOR EIGENVALUE PROBLEMS WITH JUMP COEFFICIENTS
- ISSN号:0254-9409
- 期刊名称:《计算数学:英文版》
- 时间:0
- 分类:O241.6[理学—计算数学;理学—数学] O241.82[理学—计算数学;理学—数学]
- 作者机构:[1]College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China and College of Information Technical Science, Nankai University, Tianjin 300071, China, [2]College of Mathematics and Computer Science, Hunan Normal University, Changsha 310081, China, [3]Department of Mathematics, Wayne State University, Detroit, MI 48202, USA and College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China
- 相关基金:Acknowledgement. The authors would like to thank an anonymous referee for the constructive comments (especially the hint to simplify the proof of Theorem 6.1) that significantly improves the presentation of this article. The second authors work was supported in part by the Programme for New Century Excellent Talents in University (NCET-06-0712), the National Natural Science Foundation of China (NSFC 10871066, 10571053), and Key Laboratory of High Performance Computing and Stochastic Information Processing, Ministry of Education of China, Hunan Normal University The third authors work was supported in part by the US National Science Foundation grant DMS-0612908.
关键词:
特征值问题, 间断系数, 谱元法, 几何, GALERKIN方法, 收敛性, 试验验证, 配置方法, Eigenvalue, Spectral method, Collocation, Galerkin finite element method.
中文摘要:
Email: rinoya@mail.nankai.edu.cn
Email: ziqingxie@hunnu.edu.cn
Email: zzhang@math. wayne. edu