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Multiresolution reproducing kernel particle methods

被引：78
作者：
Liu, WK
Hao, W
Chen, Y
Jun, S
Gosz, J
机构：
[1] Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208
来源：
COMPUTATIONAL MECHANICS | 1997年 / 20卷 / 04期
关键词：
D O I：
10.1007/s004660050252
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Reproducing Kernel Particle Methods (RKPM) with a built-in feature of multiresolution analysis are addressed. Some fundamental concepts such as reproducing conditions, and correction function are constructed to systematize the framework of RKPM. In particular, Fourier analysis, as a tool, is exploited to further elaborate RKPM in the frequency domain. Furthermore, we address error estimation and convergence properties. We present several applications which confirm the widespread applicability of multiresolution RKPM.
引用
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页码：295 / 309
页数：15
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