Error analysis for a fast numerical method to a boundary integral equation of the first kind
文献类型：期刊论文
| 作者 | Ma, Jingtang1; Tang, Tao2 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2008 |
| 卷号 | 26期号:1页码:56-68 |
| 关键词 | boundary integral equation collocation method graded mesh |
| ISSN号 | 0254-9409 |
| 英文摘要 | For two-dimensional boundary integral equations of the first kind with logarithmic kernels, the use of the conventional boundary element methods gives linear systems with dense matrix. In a recent work [J. Comput. Math., 22 (2004), pp. 287-298], it is demonstrated that the dense matrix can be replaced by a sparse one if appropriate graded meshes are used in the quadrature rules. The numerical experiments also indicate that the proposed numerical methods require less computational time than the conventional ones while the formal rate of convergence can be preserved. The purpose of this work is to establish a stability and convergence theory for this fast numerical method. The stability analysis depends on a decomposition of the coefficient matrix for the collocation equation. The formal orders of convergence observed in the numerical experiments are proved rigorously. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000252968400004 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6671]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ma, Jingtang |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China 2.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma, Jingtang,Tang, Tao. Error analysis for a fast numerical method to a boundary integral equation of the first kind[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2008,26(1):56-68. |
| APA | Ma, Jingtang,&Tang, Tao.(2008).Error analysis for a fast numerical method to a boundary integral equation of the first kind.JOURNAL OF COMPUTATIONAL MATHEMATICS,26(1),56-68. |
| MLA | Ma, Jingtang,et al."Error analysis for a fast numerical method to a boundary integral equation of the first kind".JOURNAL OF COMPUTATIONAL MATHEMATICS 26.1(2008):56-68. |
入库方式： OAI收割
来源：数学与系统科学研究院
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