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2003, 01, 6-10
Narrow Bicubic Hermite Rectangular Element
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Abstract:

The construction of bicubic Hermite rectangular element is given. It is proved that the bicubic Hermite rectangular element has the anisotropic interpolation property. Using the analytic method of the anisotropic element, error estimate of the narrow bicubic Hermite rectangular element for the fourth order problem is obtained. And some numerical results are given.

References

[1] CiarletP G.TheFiniteElementMethod forEllipticProblem.North-Holland,Am sterdam,1978.

[2] ApelT,DobrowolskiM.Anisotropic interpolation with applications to the finite elem ent m ethod.Computing,1992,47(3):277~293.

[3] 宋士仓.混合元与各向异性元研究.[博士论文].郑州:郑州大学,2002.

[4] 李开泰,黄艾香,黄庆怀.有限元方法及其应用.西安:西安交通大学出版社,1991

Basic Information:

China Classification Code:O241.82

Citation Information:

[1]Qiao Zhonghua, Chen Shaochun (Department of Mathematics, Zhengzhou University, Zhengzhou 450052).Narrow Bicubic Hermite Rectangular Element[J].Journal of Zhengzhou University(Natural Science Edition),2003(01):6-10.

Fund Information:

国家自然科学基金资助项目,编号 10 1710 92;; 河南省自然科学基金资助项目 .

Published:  

2003-01-01

Publication Date:  

2003-01-01

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