A quadrilateral Morley element for biharmonic equations

Author:

Park Chunjae,Sheen Dongwoo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference27 articles.

1. Adini, A., Clough, R.W.: Analysis of Plate Bending by the Finite Element Method. Technical report, NSF Report for Grant G. 7337 (1960)

2. Arnold, D.N., Brezzi, F.: Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates. R.A.I.R.O. Math. Model. Anal. Numer. 19, 7–32 (1985)

3. Bacuta, C., Bramble, J.H., Pasciak, J.E.: Shift theorems for the biharmonic Dirichlet problem. In: Chan, T.F., et al. (eds.) Recent Progress in Computational and Applied PDES, pp. 1–26. Boston/Dortrecht/London (2003)

4. Bazeley, G.P., Cheung, Y.K., Irons, B.M., Zienkiewicz, O.C.: Triangular elements in bending-conforming and nonconforming solutions. In: Przemieniecki, J.S. (ed.) Proceedings of the Conference on Matrix Methods in Structural Mechanics, pp. 547–576. Wright Patterson Air Force Base, Ohio (1965)

5. Blum, H.I., Rannacher, R.: On the boundary value problem of the biharmonic operator on domains with angular corners. Math. Methods Appl. Sci. 2(4), 566–581 (1980)

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