A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading | |
Chen, QY ; Tang, T ; Teng, ZH | |
2004 | |
关键词 | integral equations mesh grading fast numerical method VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WEAKLY SINGULAR KERNELS COLLOCATION METHODS |
英文摘要 | The aim of this paper is to develop a fast numerical method for two-dimensional boundary integral equations of the first kind with logarithm kernels when the boundary of the domain is smooth and closed. In this case, the use of the conventional boundary element methods gives linear systems with dense matrix. In this paper, we demonstrate that the dense matrix can be replaced by a sparse one if appropriate graded meshes are used in the quadrature rules. It will be demonstrated that this technique can increase the numerical efficiency significantly.; Mathematics, Applied; Mathematics; SCI(E); 中国科学引文数据库(CSCD); 7; ARTICLE; 2; 287-298; 22 |
语种 | 英语 |
出处 | SCI |
出版者 | 计算数学英文版 |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/400458] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Chen, QY,Tang, T,Teng, ZH. A fast numerical method for integral equations of the first kind with logarithmic kernel using mesh grading. 2004-01-01. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
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。
修改评论