Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (2): 159-165.

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Analysis on a Set of 12-parameter Rectangular Plate Element with High Accuracy

  

  1. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China;Department of Mathematics, North China University of Water Conservancy and Power, Zhengzhou 450011, China
  • Received:2005-10-02 Online:2006-06-30 Published:2023-12-01
  • About author:SHI Dong-yang(1961-),male,nalive of Lushan,Henan,a professor of Zhengzhou University, Ph.D.,engages in finite element method and application.
  • Supported by:
     Supported by NSF of China(10371113);

Abstract: It is proved that the so-called a set of 12-parameter rectangular plate elements with high accuracy constructed by using double set parameter method and undetermined method are, in fact, the same one; the real shape function space is nothing but the Adini’s element’s, which has nothing to do with the other high degree terms and leads to a new method for constructing the high accuracy plate elements. This fact has never been seen for other conventional and unconventional, conforming and nonconforming rectangular plate elements, such as Quasi-conforming elements, generalized conforming elements and other double set parameter finite elements. Moreover, such kind of rectangular elements can not be constructed by the conventional finite element methods. 

Key words: double , set , parameter , element;high , accuracy;Adini's , shape , function , space, geometric symmetry;new method

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