Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems
文献类型：期刊论文
| 作者 | Li, ZC; Lin, Q; Yan, NN |
| 刊名 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 1999-06-30 |
| 卷号 | 106期号:2页码:325-344 |
| 关键词 | elliptic equation singularity problem superconvergence combined method coupling technique finite-element method the Ritz-Galerkin method penalty method hybrid method |
| ISSN号 | 0377-0427 |
| 英文摘要 | This paper combines the piecewise bilinear elements with the singular functions to seek the corner singular solution of elliptic boundary value problems. The global superconvergence rates O(h(2-delta)) can be achieved by means of the techniques of Lin and Yan (The Construction and Analysis of High Efficient FEM, Hobei University Publishing, Hobei, 1996) for different coupling strategies, such as the nonconforming constraints, the penalty integrals, and the penalty plus hybrid integrals, where delta(>0) is an arbitrarily small number, and h is the maximal boundary length of quasiuniform rectangles square(ij) used. A little effort in computation is paid to conduct a posteriori interpolation of the numerical solutions, uh, only on the subregion used in finite element methods. This paper also explores an equivalence of superconvergence between this paper and Z.C. Li, Internat. J. Numer. Methods Eng. 39 (1996) 1839-1857 and J. Comput. Appl. Math. 81 (1997) 1-17. (C) 1999 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000081088700008 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14273]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, ZC,Lin, Q,Yan, NN. Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,1999,106(2):325-344. |
| APA | Li, ZC,Lin, Q,&Yan, NN.(1999).Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,106(2),325-344. |
| MLA | Li, ZC,et al."Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 106.2(1999):325-344. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。