JIN Jian-ming, XUE Peng-xiang, XU Ying-xiang, ZHU Ya-li. Compactly Supported Non-Tensor Product Form Two Dimension Wavelet Finite Element[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1464-1476.
Citation: JIN Jian-ming, XUE Peng-xiang, XU Ying-xiang, ZHU Ya-li. Compactly Supported Non-Tensor Product Form Two Dimension Wavelet Finite Element[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1464-1476.

Compactly Supported Non-Tensor Product Form Two Dimension Wavelet Finite Element

  • Received Date: 2005-06-13
  • Rev Recd Date: 2006-06-23
  • Publish Date: 2006-12-15
  • Some theorems of compactly supported non-tensor product form two dimension Daubechies wavelet was analysed carefully. Compactly supported non-tensor product form two dimension wavelet was constructed, then non-tensor product form two dimension wavelet finite element was used to solve the deflection problem of elastic thin plate. The error order was researched. A numerical example was given at last.
  • loading
  • [1]
    Daubechies Ingrid.Orthonormal bases of compactly supported wavelets[J].Comm Pure Appl Math,1988,41(7):909—996. doi: 10.1002/cpa.3160410705
    [2]
    Mallat Stephane G. Multiresolution approximation and wavelet orthonormal bases of L2(R)[J].Trans Amer Math Soc,1989,315(1):69—87.
    [3]
    金坚明. 二维小波函数中gn的分析与具体计算[J].甘肃科学学报,2002,14(3):11—14.
    [4]
    金坚明.二维共轭滤波器相应定理的探讨[J].西北师范大学学报(自然科学版),2001,37(3):12—18.
    [5]
    金坚明.二维共轭滤波器及其构造[J].西北师范大学学报(自然科学版),2002,38(1):19—25.
    [6]
    DING Xuan-zhou.Construction of real-valued wavelets symmetry[J].Journal of Approximation Theory,1995,81(3):323—331. doi: 10.1006/jath.1995.1054
    [7]
    梁学章,何甲兴,王新民,等.小波分析[M].北京:国防工业出版社,2005.
    [8]
    周又和,王记增,郑晓静.小波伽辽金有限元法在梁板结构中的应用[J].应用数学和力学,1998,19(8):697—706.
    [9]
    石钟慈.样条有限元[J].计算数学,1979,1(1):50—72.
    [10]
    Strang G,Fix G J.An Analysis of the Element Mothod[M].New York: Academic Press, 1973.
    [11]
    金坚明.线性板问题中的有限元法[M].兰州:兰州大学出版社,1997.
    [12]
    清华大学应用数学系《现代应用数学手册》编委会. 现代应用数学手册·计算方法分册[M].北京:北京出版社,1990.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2649) PDF downloads(632) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return