Summary
We prove the convergence of a simple finite element method based on the Discrete Kirchhoff Triangle (DKT) for solving the Mindlin plate equations. If t is the thickness of the plate, an error bound O(h2+t2) is obtained for both the bending and the rotations.
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References
BATOZ, J.-L., BATHE, K.-J., LEE-WING-HO: “A study of three-node triangular plate bending elements”, Int. J.Numer. Meth. Engrg. 15 (1980), pp. 1771–1812.
FRIED, I., SHOK KENG YANG: “Triangular, nine-degrees-of-freedom, C0 plate bending element of quadratic accuracy”, Quart. Appl. Math. 31 (1973), pp. 303–312.
PITKÄRANTA, J.: “Analysis of finite element methods for solving the Mindlin plate equations”, to appear.
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© 1987 Springer Fachmedien Wiesbaden
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Pitkäranta, J. (1987). On a Simple Finite Element Method for Plate Bending Problems. In: Hackbusch, W., Witsch, K. (eds) Numerical Techniques in Continuum Mechanics. Notes on Numerical Fluid Mechanics, vol 16. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-85997-6_8
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DOI: https://doi.org/10.1007/978-3-322-85997-6_8
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08091-4
Online ISBN: 978-3-322-85997-6
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