Wu Ji-ke, Yuan Yong. On the Positive Definiteness of a Class of Operators[J]. Applied Mathematics and Mechanics, 1987, 8(6): 523-526.
Citation: Wu Ji-ke, Yuan Yong. On the Positive Definiteness of a Class of Operators[J]. Applied Mathematics and Mechanics, 1987, 8(6): 523-526.

On the Positive Definiteness of a Class of Operators

  • Received Date: 1986-04-26
  • Publish Date: 1987-06-15
  • In this paper,a proof of the positive definiteness for a class of operators is given.The operators considered are general enough to include those in two-and three-dimensional elasticity,thin plates and shells as their special cases.
  • loading
  • [1]
    Fichera,G.,Existence Theorem in Elasticity,Encyclopedia of Physics,Vol,VIa/2(1972).
    [2]
    Bernadou,M.and P.G.Ciarlet,Sur Lellipticite du Modele Lineaire de Cogues de W.T.Koiter,Lecture Notes in Economics and Mathematics Systems 134,Computing Methods in Applied Sciences and Engineering,89-136,2nd Inetr.Symp.,Dec.(1975),15-19.
    [3]
    武际可,薄壳方程组椭圆型条件的证明,1979年全国弹塑性力学学术交流会论文,固体力学学报,4(1931),436-444,
    [4]
    王大均、胡海昌,弹性结构理.,中两类算子的正定性和紧致性的统一证明,力学学报,2(1980).
    [5]
    武际可,对胡海昌-鴑津久一朗原理的推广,北京大学字报(自然科宇),3(1985).
    [6]
    武际可、王敏中,《弹性力学引论》北京大学出版社(1931).
    [7]
    Ciarlet,P.G.,《有限元素法的数值分析》,蒋尔雄等译,上海科技出版社(1978).
    [8]
    姜礼尚、先之垣,《有限元方法及其理论基础》,人民教育出版社(1980),143-144.
  • 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 (1738) PDF downloads(652) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return