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Meshless Method of Solving Partial Differential Equations
Author(s): 
Pages: 292-299
Year: Issue:  3
Journal: JOURNAL OF FUDAN UNIVERSITY(NATURAL SCIENCE)

Keyword:  偏微分方程无网格算法正定径向基函数;
Abstract: 利用径向基函数在Sobolev空间H k(Ω) (k>(n)/(2))中的插值性质,由一类特殊的径向函数构成H 1(Ω)空间中的一组基,得到求解偏微分方程边值问题的无网格算法,并针对散乱数据的特点,给出计算整体稠密度h的算法及如何通过加密节点使h值缩小的一个可行的方法,最后应用Sobolev splines径向基函数和紧支柱正定径向基函数进行了数值模拟.
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