HUANG Jian-guo, MU Jian-fei. On the Spectral Equivalence of Unconventional Finite Elements and Their Conventional Relatives[J]. Applied Mathematics and Mechanics, 2000, 21(8): 823-828.
Citation: HUANG Jian-guo, MU Jian-fei. On the Spectral Equivalence of Unconventional Finite Elements and Their Conventional Relatives[J]. Applied Mathematics and Mechanics, 2000, 21(8): 823-828.

On the Spectral Equivalence of Unconventional Finite Elements and Their Conventional Relatives

  • Received Date: 1999-04-28
  • Rev Recd Date: 2000-02-03
  • Publish Date: 2000-08-15
  • With a generalized conforming element as a typical example, the spectral equivalence of unconventional finite elements and their conventional relatives is proved. This result is very important for the construction of domain decomposition parallel algorithms for unconventional finite elements.
  • loading
  • [1]
    Chan T F, Mathew T.Domain decomposition algorithms[J].Acta Numerica,1994,2;61-143.
    [2]
    Xu J C.Iterative methods by space decomposition and subspace correction[J].SIAM Review,1992,34(3);581-613.
    [3]
    Xu J C, Zou J.Non-overlapping domain decomposition methods[J].SIAM Review,1998,40(4);857-914.
    [4]
    Ciarlet P G.The Finite Element Method for Elliptic Problem[M].Amsterdam-New York-Oxford:North-Holland,1978.
    [5]
    龙驭球,辛克贵.广义协调元[J].土木工程学报,1987,1(1);1-14.
    [6]
    石钟慈,陈绍春.九参数广义协调元的收敛性[J].计算数学,1991,13(2);193-203.
    [7]
    龙驭球.新型有限元引论[M].北京;清华大学出版社,1992.
    [8]
    陈绍春,石钟慈.构造单元刚度矩阵的双参数法[J].计算数学,1991,13(3);286-296.
    [9]
    Brenner S C.A two-level additive preconditioner for nonconforming plate elements[J].Numer Math,1996,72(3);419-447.
    [10]
    谢正辉.Domain decomposition and multigrid methods for nonconforming plate elements[D].博士论文.北京;中科院计算数学研究所,1996.
    [11]
    Bramble J H, Pasciak J E, Schatz A H.The construction of preconditioners for elliptic problems by substructuring,Ⅰ[J].Math Comp,1986,47(1);102-134.
  • 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 (1838) PDF downloads(635) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return