Construction of the Beam Element Based Second Generation Wavelet

Abstract:

Second generation wavelet (SGW) provides diversity and agility for constructing wavelet besides the multiresolution property. By introducing SGW into finite element method, a series sequence of finite element approximation spaces which are nested and hierarchically expanded can be constructed. The method has high calculation speed and precision and is suited for constructing adaptive algorithm. In this paper, the beam element based SEW is constructed, which set up a basis for the adaptive finite element method based on multiresolution analysis.

• Periodical: Applied Mechanics and Materials (Volumes 80-81)
• Pages: 532-535
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.80-81.532
• Online since: July 2011
• Authors: Yu Min He, Xi Chen, Xiao Long Zhang
• Keywords: Adaptive Algorithm, Finite Element, Multiresolution Analysis, Second Generation Wavelet

References

[1] ZhengJia He, XueFeng Chen.: fuzzy Vol. 41 (2005), p.1, In Chinese.

[2] Dahmen W, Kunoth A, Schneider R: SIAM Journal of Numerical Analysis Vol. 39(2002), p. (1985).

[3] Sweldens W: Applied and Computational Harmonic Analysis Vol. 3 (1996), p.186.

[4] Sweldens W: SIAM J. Math. Anal Vol. 29(1998), p.511.

[5] ChenDong Duan, ZhengJia He: Journal of xian jiaotong university Vol. 37(2003), p.695, In Chinese.

[6] Wang X, Zi Y, He Z: Measurement Science and Technology Vol. 20 (2009), pp.045103-1.

[5] R.J. Ong, J.T. Dawley and P.G. Clem: submitted to Journal of Materials Research (2003).