Meshless method based on collocation with consistent compactly supported radial basis functions

被引：0
|
作者：
Song, KZ [1 ]
Zhang, X [1 ]
Lu, MW [1 ]
机构：
[1] Tsing Hua Univ, Dept Engn Mech, Beijing 100084, Peoples R China
来源：
ACTA MECHANICA SINICA | 2004年 / 20卷 / 05期
关键词：
radial basis function; collocation; meshless;
D O I：
暂无
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Based on our previous study, the accuracy of derivatives of interpolating functions are usually very poor near the boundary of domain when Compactly Supported Radial Basis Functions (CSRBFs) are used, so that it could result in significant error in solving partial differential equations with Neumann boundary conditions. To overcome this drawback, the Consistent Compactly Supported Radial Basis Functions (CCSRBFs) are developed, which satisfy the predetermined consistency conditions. Meshless method based on point collocation with CCSRBFs is developed for solving partial differential equations. Numerical studies show that the proposed method improves the accuracy of approximation significantly.
引用
收藏
页码：551 / 557
页数：7
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