Application of Wavelet Theory in Research on Weight Function of Meshless Method

ZHANG Hong; ZHANG Xuan-bing; GE Xiu-run

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(5): 609-613

ZHANG Hong, ZHANG Xuan-bing, GE Xiu-run. Application of Wavelet Theory in Research on Weight Function of Meshless Method[J]. Applied Mathematics and Mechanics, 2005, 26(5): 609-613.

Citation:

ZHANG Hong, ZHANG Xuan-bing, GE Xiu-run. Application of Wavelet Theory in Research on Weight Function of Meshless Method[J]. Applied Mathematics and Mechanics, 2005, 26(5): 609-613.

Citation:

ZHANG Hong, ZHANG Xuan-bing, GE Xiu-run. Application of Wavelet Theory in Research on Weight Function of Meshless Method[J]. Applied Mathematics and Mechanics, 2005, 26(5): 609-613.

PDF( 226 KB)

Application of Wavelet Theory in Research on Weight Function of Meshless Method

1.
School of Remote Sensing and Information Engineering, Wuhan University, Wuhan 430079, P. R. China;

Received Date: 2003-11-08
Rev Recd Date: 2004-12-31
Publish Date: 2005-05-15

Abstract

Abstract

Multiresolution analysis of wavelet theory can give an effective way to describe the information at various levels of approximations or different resolutions, based on spline wavelet analysis, so weight function is orthonormally projected onto a sequence of closed spline subspaces, and is viewed at various levels of approximations or different resolutions. Now, the useful new way to research weight function is found, and the numerical result is given.
- meshless method,
- weight function,
- spline wavelet,
- multiresolution analysis

FullText(HTML)

References(9)

References

[1]	Belytschko T,Lu Y Y，Gu L.Element-free Galerkin methods[J].International Journal for Numerical Methods in Engineering,1994，37：229—256. doi: 10.1002/nme.1620370205
[2]	Monaghan J.An introduction to SPH[J].Computer Physics Communication,1988,48：89—96. doi: 10.1016/0010-4655(88)90026-4
[3]	Liu W K,Jun S,Zhang S.Reproducing kernel particle methods[J].International Journal for Numerical Methods in Fluids,1995,20：1081—1106. doi: 10.1002/fld.1650200824
[4]	Melenk J M,Babuska I.The partition of unity finite element method: basic theory and application[J].Computer Methods in Applied Mechanics Engineering，1996,139：289—314. doi: 10.1016/S0045-7825(96)01087-0
[5]	周小平.对进一步发展无单元法的几点设想[J].福州大学学报，2001,29(3):84—87.
[6]	Mallat S.Multiresolution approximations and wavelet orthonormal bases of L2(r)[J].Trans of the American Mathematical Society,1989，315：69—87.
[7]	赵松年，熊小芸.小波变换与子波分析[M].北京：电子工业出版社，1992.
[8]	Charles K C.An Introduction to Wavelet[M].Academic Press,1992.
[9]	张选兵.基于敏感性分析和小波分析的无单元研究[D].武汉：中国科学院武汉岩土力学研究所，2002，06.