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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.
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