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Zbl 0536.73063
Bramble, James H.; Falk, Richard S.
Two mixed finite element methods for the simply supported plate problem. (English)
[J] RAIRO, Anal. Numér. 17, 337-384 (1983). ISSN 0399-0516

This paper studies two mixed finite element models for the solution of the biharmonic model of a simply supported plate problem. The mixed formulation permits the use of lower order polynomials. The two approximate schemes are developed and error estimates presented. The paper also discusses efficient computational procedures for solving approximate problems. \par The main contribution of the interesting paper is to point out the advantages of using mixed finite element models for plate bending in terms of simplicity of the formulation and accuracy of the results.
[C.Brebbia]

MSC 2000:: *74S05 Finite element methods
74K20 Plates
74S99 Numerical methods in solid mechanics

Keywords: biharmonic model; simply supported plate; mixed formulation; lower order polynomials; two approximate schemes; error estimates; efficient computational procedures

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