Construction of the beam element based second generation wavelet

被引:1
|
作者
He, Yumin [1 ]
Chen, Xi [2 ]
Zhang, Xiaolong [1 ]
机构
[1] Xian Univ Architecture & Technol, Xian 710055, Shaanxi, Peoples R China
[2] China Natl Heavy Machinery Res Inst Co Ltd, Xian 710032, Peoples R China
基金
中国国家自然科学基金;
关键词
Second generation wavelet; Multiresolution analysis; finite element; Adaptive algorithm; LIFTING SCHEME;
D O I
10.4028/www.scientific.net/AMM.80-81.532
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
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.
引用
收藏
页码:532 / +
页数:2
相关论文
共 50 条
  • [1] Construction of bar-beam element based on daubechies wavelet and second-generation wavelet
    [J]. Wang, Hanxiang (wanghx1996@163.com), 1600, Italian Association of Chemical Engineering - AIDIC (55):
  • [2] Construction of bar-beam element based on Daubechies wavelet and second-generation wavelet
    Liu, Yanxin
    Lan, Wenjian
    Zhang, Xin
    Wang, Hanxiang
    [J]. Chemical Engineering Transactions, 2016, 55 : 193 - 198
  • [3] The construction of second generation wavelet-based multivariable finite elements for multiscale analysis of beam problems
    Wang, Youming
    Wu, Qing
    Wang, Wenqing
    [J]. STRUCTURAL ENGINEERING AND MECHANICS, 2014, 50 (05) : 679 - 695
  • [4] A study of the construction and application of a Daubechies wavelet-based beam element
    Ma, JX
    Xue, JJ
    Yang, SJ
    He, ZJ
    [J]. FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2003, 39 (10) : 965 - 975
  • [5] Construction of a Finite Element Multiresolution Method Based on the Second Generation Wavelets
    Lin, Yun
    He, Yumin
    Zhang, Xiaolong
    [J]. MATERIALS PROCESSING TECHNOLOGY, PTS 1-4, 2011, 291-294 : 1161 - 1164
  • [6] Second-generation wavelet finite element based on the lifting scheme for GPR simulation
    Feng, De-Shan
    Zhang, Hua
    Wang, Xun
    [J]. APPLIED GEOPHYSICS, 2020, 17 (01) : 143 - 153
  • [7] Second-generation wavelet finite element based on the lifting scheme for GPR simulation
    De-Shan Feng
    Hua Zhang
    Xun Wang
    [J]. Applied Geophysics, 2020, 17 : 143 - 153
  • [8] A second-generation wavelet-based finite element method for the solution of partial differential equations
    Wang, Youming
    Chen, Xuefeng
    He, Zhengjia
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (11) : 1608 - 1613
  • [9] A second generation wavelet based finite elements on triangulations
    Quraishi, S. M.
    Sandeep, K.
    [J]. COMPUTATIONAL MECHANICS, 2011, 48 (02) : 163 - 174
  • [10] A second generation wavelet based finite elements on triangulations
    S. M. Quraishi
    K. Sandeep
    [J]. Computational Mechanics, 2011, 48 : 163 - 174