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MODIFIED SPECHT’S PLATE BENDING ELEMENT AND ITS CONVERGENCE ANALYSIS

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Electronic Transactions on Numerical Analysis.

Volume 2, pp. 92-103, June 1994.

Copyright1994, Kent State University.

ISSN 1068-9613.

ETNA

Kent State University [email protected]

MODIFIED SPECHT’S PLATE BENDING ELEMENT AND ITS CONVERGENCE ANALYSIS

T.M. SHIH AND JUNBIN GAO

Abstract. This paper discusses Specht’s plate bending element, shows the relationships between

R

Fρw dsor

R

Fρ

∂w∂ndsand the nodal parameters (or degrees of freedom), further it sheds lights on the construction methods for that element, and finally it introduces a new plate bending element with good convergent properties (which passes the F-E-M-Test (cf.[11])) is derived.

Key words. interpolation, nonconforming finite element, Specht’s element.

AMS subject classifications.41A05, 65D05, 65N30.

Received February 3, 1994. Accepted for publication June 28, 1994. Communicated by M.

Eiermann. This work is supported by the Research Committee of Hong Kong Polytechnic, Grant No. 340/805.

Department of Applied Mathematics, Hong Kong Polytechnic, Kowloon, HONG KONG

Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China. This research was supported by the Postdoctoral Science Foundation of China, the Natural Science Foundation of China and the Science Foundation for Younth provided by HUST.

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