A Locking-Free and Reduction-Free Conforming Finite Element Method for the Reissner-Mindlin Plate on Rectangular Meshes
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s42967-023-00343-0.pdf
Reference60 articles.
1. Arnold, D.N., Brezzi, F., Falk, R.S., Marini, L.D.: Locking-free Reissner-Mindlin elements without reduced integration. Comput. Methods Appl. Mech. Eng. 196(37/38/39/40), 3660–3671 (2007)
2. Arnold, D.N., Brezzi, F., Marini, D.: A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. J. Sci. Comput. 22, 25–45 (2005)
3. Arnold, D.N., Falk, R.S.: A uniformly accurate finite element method for the Reissner-Mindlin plate. SIAM J. Numer. Anal. 26, 1276–1290 (1989)
4. Bathe, K.-J., Brezzi, F.: On the convergence of a four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation. In: The Mathematics of Finite Elements and Applications. V (Uxbridge, 1984), pp. 491–503. Academic Press, London (1985)
5. Bathe, K.-J., Brezzi, F.: A simplified analysis of two plate bending elements—the MITC4 and MITC9 elements. In: Numerical Techniques for Engineering Analysis and Design, vol. 1. Martinus Nijhoff, Amsterdam (1987)
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1. Locking-free Argyris–Lagrange finite elements for the Reissner–Mindlin plate;Calcolo;2024-07-29
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