New expansions of numerical eigenvalues for -Delta u = lambda rho u by nonconforming elements
文献类型：期刊论文
| 作者 | Lin, Qun3 ; Huang, Hung-Tsai; Li, Zi-Cai1,2
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2008 |
| 卷号 | 77期号:264页码:2061-2084 |
| 关键词 | bilinear elements rotated bilinear element the extension of rotated bilinear element Wilson's element eigenvalue problem extrapolation global superconvergence |
| ISSN号 | 0025-5718 |
| 英文摘要 | The paper explores new expansions of the eigenvalues for -Delta u = lambda rho u in S with Dirichlet boundary conditions by the bilinear element (denoted Q(1)) and three nonconforming elements, the rotated bilinear element (denoted Q(1)(rot)), the extension of Q(1)(rot) (denoted Q(1)(rot)) and Wilson's elements. The expansions indicate that Q(1) and Q(1)(rot) provide upper bounds of the eigenvalues, and that EQ(1)(rot) and Wilson's elements provide lower bounds of the eigenvalues. By extrapolation, the O(h(4)) convergence rate can be obtained, where h is the maximal boundary length of uniform rectangles. Numerical experiments are carried out to verify the theoretical analysis made. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000257949000008 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6979]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Lin, Qun |
| 作者单位 | 1.Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan 2.Natl Sun Yat Sen Univ, Dept Comp Sci & Engn, Kaohsiung 80424, Taiwan 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 1000080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lin, Qun,Huang, Hung-Tsai,Li, Zi-Cai. New expansions of numerical eigenvalues for -Delta u = lambda rho u by nonconforming elements[J]. MATHEMATICS OF COMPUTATION,2008,77(264):2061-2084. |
| APA | Lin, Qun,Huang, Hung-Tsai,&Li, Zi-Cai.(2008).New expansions of numerical eigenvalues for -Delta u = lambda rho u by nonconforming elements.MATHEMATICS OF COMPUTATION,77(264),2061-2084. |
| MLA | Lin, Qun,et al."New expansions of numerical eigenvalues for -Delta u = lambda rho u by nonconforming elements".MATHEMATICS OF COMPUTATION 77.264(2008):2061-2084. |
入库方式： OAI收割
来源：数学与系统科学研究院
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