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

页码：295 / 309

页数：15

共 34 条

[1]

[Anonymous], 1992, 10 LECT WAVELETS

[2]

Babuska I., 1995, PARTITION UNITY FINI

[3] Smoothing and accelerated computations in the element free Galerkin method [J].