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系列学术活动之(23)

1.The method of particular solutions for polynomial basis functions 2. Surface reconstruction using meshless methods

发布者:澳门新葡8455最新网站   发布时间:2018-05-31  浏览次数:140

 

系列学术活动之(23

题 目:

1.The method of particular solutions for polynomial basis functions
2. Surface reconstruction using meshless methods

摘 要:

In the past, polynomial particular solutions have been obtained for certain types of partial differential operators without convection terms. In this talk, a closed-form particular solution for more general partial differential operators with constant coefficients has been derived for polynomial basis functions. The newly derived particular solution is further coupled with the method of particular solutions (MPS) for numerically solving a large class of elliptic partial differential equations. In contrast to the use of Chebyshev polynomial basis functions, the proposed approach is more flexible in selecting the collocation points inside the domain. The polynomial basis functions are well-known for yielding ill-conditioned systems when their order becomes large. The multiple scale technique is applied to circumvent the difficulty of ill-conditioning problem. Five numerical examples are presented to demonstrate the effectiveness of the proposed algorithm.

报 告 人:

C.S. Chen (陈清祥),教授,美国南密西西比大学

时 间:

20186409:30

地 点:

明义-204

报告人概况:

C.S. Chen (陈清祥)教授,台湾高雄人,1988年博士毕业于美国路易斯安那大学拉法叶分校,目前为美国南密西西比大学终身教授。Chen首次提出并将基本解方法应用于非齐次方程的数值模拟,Kansas类的基本解方法用于模拟齐次方程;著作“Discrete projection method”构建起了数学与工程应用之间的桥梁。发表学术论文100余篇,出版数值计算方面的专著3部,其中《The Method of Fundamental Solutions-A Meshless Method》是第一本关于基本解方法研究的专著,它对于基本解方法的发展有着里程碑的意义。



 

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