New expansions of numerical eigenvalues by Wilson's element
文献类型：期刊论文
| 作者 | Lin, Qun2; Huang, Hung-Tsai3; Li, Zi-Cai1,4 |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 2009-03-01 |
| 卷号 | 225期号:1页码:213-226 |
| 关键词 | Wilson's element Eigenvalue problem Extrapolation Global superconvergence |
| ISSN号 | 0377-0427 |
| DOI | 10.1016/j.cam.2008.07.019 |
| 英文摘要 | The paper explores new expansions of eigenvalues for -Delta u = lambda rho u in S with Dirichlet boundary conditions by Wilson's element, The expansions indicate that Wilson's element provides lower bounds of the eigenvalues. By the extrapolation or the splitting extrapolation, the O(h(4)) convergence rate can be obtained, where h is the maximal boundary length Of Uniform rectangles. Numerical experiments are carried to verify the theoretical analysis made. It is worth pointing Out that these results are new, compared with the recent book, Lin and Lin [Q. Lin, J. Lin, Finite Element Methods; Accuracy and Improvement, Science Press, Beijing, 2006]. (C) 2009 Published by Elsevier B.V. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000263852100020 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8584]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Zi-Cai |
| 作者单位 | 1.Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 1000080, Peoples R China 3.I Shou Univ, Dept Appl Math, Saga 840, Japan 4.Natl Sun Yat Sen Univ, Dept Comp Sci & Engn, Kaohsiung 80424, Taiwan |
| 推荐引用方式 GB/T 7714 | Lin, Qun,Huang, Hung-Tsai,Li, Zi-Cai. New expansions of numerical eigenvalues by Wilson's element[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,225(1):213-226. |
| APA | Lin, Qun,Huang, Hung-Tsai,&Li, Zi-Cai.(2009).New expansions of numerical eigenvalues by Wilson's element.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,225(1),213-226. |
| MLA | Lin, Qun,et al."New expansions of numerical eigenvalues by Wilson's element".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 225.1(2009):213-226. |
入库方式： OAI收割
来源：数学与系统科学研究院
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