Nonconforming locking-free finite elements for Reissner-Mindlin plates

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 25-28, 2006, Pages 3448-3460

  Chinosi, C ^a   Lovadina, C ^b,c   Marini, L D ^b,c  

^a UNIVERSITY OF EASTERN PIEDMONT   (Italy)

^b UNIVERSITY OF PAVIA   (Italy)

^c CNR   (Italy)

Author keywords

Error analysis; Finite element methods; Nonconforming methods; Reissner Mindlin plates

Indexed keywords

ERROR ANALYSIS; ESTIMATION; MATHEMATICAL MODELS;

LOCKING-FREE FINITE ELEMENTS; NONCONFORMING METHODS; REISSNER-MINDLIN PLATES;

FINITE ELEMENT METHOD;

ERROR ANALYSIS; ESTIMATION; FINITE ELEMENT METHOD; MATHEMATICAL MODELS;

EID: 33645902545     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.06.025     Document Type: Article

References (13)

1. Agmon S. Lectures on Elliptic Boundary Value Problems (1965), Van Nostrand Mathematical Studies, Princeton, NJ
2. Arnold D.N. An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal. 19 (1982) 742-760
3. Arnold D.N., Brezzi F., Cockburn B., and Marini L.D. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39 (2002) 1749-1779
4. Arnold D.N., Brezzi F., and Marini L.D. A family of discontinuous Galerkin finite elements for the Reissner-Mindlin plate. J. Sci. Comput. 22 (2005) 25-45
5. Arnold D.N., and Falk R.S. A uniformly accurate finite element method for the Reissner-Mindlin plate. SIAM J. Numer. Anal. 26 (1989) 1276-1290
6. Brezzi F., and Fortin M. Numerical approximation of Mindlin-Reissner plates. Math. Comput. 47 (1986) 151-158
7. Brezzi F., and Fortin M. Mixed and Hybrid Finite Element Methods (1991), Springer, New York
8. Brezzi F., and Marini L.D. A nonconforming element for the Reissner-Mindlin plate. Comput. Struct. 81 (2003) 515-522
9. Chapelle D., and Stenberg R. An optimal low-order locking-free finite element method for Reissner-Mindlin plates. Math. Models Methods Appl. Sci. 8 (1998) 407-430
10. Chinosi C., and Lovadina C. Numerical analysis of some mixed finite element methods for Reissner-Mindlin plates. Comput. Mech. 16 (1995) 36-44
11. Ciarlet P.G. The Finite Element Method for Elliptic Problems (1978), North-Holland
12. P. Hansbo, M.G. Larson, Discontinuous Galerkin and the Crouzeix-Raviart element: application to elasticity, Chalmers Finite Element Center Preprint 2000-9, Chalmers University of Technology, Sweden, 2000.
13. Lovadina C. A low-order nonconforming finite element for Reissner-Mindlin plates. SIAM J. Numer. Anal. 42 (2005) 2688-2705