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Keywords:
Reissner-Mindlin plate model; mixed-interpolated elements
Reissner-Mindlin plate model; mixed-interpolated elements
Summary:
Hard clamped and hard simply supported elastic plate is considered. The mixed finite element analysis combined with some interpolation, proposed by Brezzi, Fortin and Stenberg, is extended to the case of variable thickness and anisotropic material.
References:
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[2] Brezzi, F. – Fortin, M.: Mixed and Hybrid Finite Element Methods. Springer-Verlag, New York, Berlin, 1991. MR 1115205
[3] Brezzi, F. – Fortin, M. – Stenberg, R.: Error analysis of mixed-interpolated elements for Reissner–Mindlin plates. Math. Models and Meth. in Appl. Sci 1 (1991), 125–151. DOI 10.1142/S0218202591000083 | MR 1115287
[4] Brezzi, F. – Fortin, M.: Numerical approximation of Mindlin-Reissner plates. Math. Comp. 47 (1986), 151–158. DOI 10.1090/S0025-5718-1986-0842127-7 | MR 0842127
[5] Girault, V. – Raviart, P. A.: Finite element methods for Navier-Stokes equations. Theory and Algorithms, Springer-Verlag, Berlin, 1986. MR 0851383
[6] Nečas, J. – Hlaváček, I.: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction. Elsevier, Amsterdam, 1981.
[7] Ciarlet, P.G.: Basic error estimates for elliptic problems. Handbook of Numer. Anal., P. G. Ciarlet and J. L. Lions vol. II (eds.), North-Holland, Amsterdam, 1991, pp. 17–352. MR 1115237 | Zbl 0875.65086
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