Remarks on some mixed finite element schemes for Reissner-Mindlin plate model

Calcolo

Volumn 39, Issue 2, 2002, Pages 87-108

  Chinosi, C ^a  

^a UNIVERSITY OF EASTERN PIEDMONT   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; LOCKS (FASTENERS);

FINITE-ELEMENT SCHEMES; INTEGRATION TECHNIQUES; MINDLIN PLATE MODELS; MIXED FINITE ELEMENTS; NUMERICAL RESULTS; PERFORMANCE; REISSNER-MINDLIN PLATE PROBLEM; REISSNER/MINDLIN PLATE; SELECTIVE REDUCED INTEGRATION; SHEAR ENERGY;

MINDLIN PLATES;

EID: 0036974957     PISSN: 00080624     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100920200006     Document Type: Article

References (11)

1. Arnold, D.N., Brezzi, F.: Some new elements for the Reissner-Mindlin plate model. In: Lions, J.-L., Baiocchi, C. (eds.): Boundary value problems for partial differential equations and applications. Paris: Masson, 1993, pp. 287-292
2. Arnold, D.N., Brezzi, F.: Locking-free finite elements for shells. Math. Comp. 66, 1-14 (1997)
3. Boffi, D., Lovadina, C.: Analysis of new augmented Lagrangian formulations for mixed finite element schemes. Numer. Math. 75, 405-419 (1997)
4. Brezzi, E, Fortin, M.: A minimal stabilisation procedure for mixed finite element methods. Numer. Math. 89, 457-491 (2001)
5. Brezzi, E, Fortin, M.: Mixed and hybrid finite element methods. New York: Springer, 1991
6. Lovadina, C.: Some rectangular finite element methods for Reissner-Mindlin plates. Math. Models Methods Appl. Sci. 5, 777-787 (1995)
7. Chinosi, C., Lovadina, C.: Numerical analysis of some mixed finite element methods for Reissner-Mindlin plates. Comput. Mech. 16, 36-44 (1995)
8. Ciarlet, P.G.: The finite element method for elliptic problems. Amsterdam: North-Holland, 1978
9. Hughes T.J.R. Franca, L.P.: A mixed finite element formulation for Reissner-Mindlin plate theory: uniform convergence of all higher-order spaces. Comput. Methods Appl. Mech. Engrg. 67, 223-240 (1988)
10. Lyly, M., Stenberg, R.: Stabilized MITC plate bending elements. In: Papadrakakis, M., Topping, B.H.V. (eds.): Advances infinite element techniques. Edinburgh: Civil-Comp Press, 1994, pp. 11-16
11. Pitkäranta, J.: Analysis of some low-order finite element schemes for Mindlin-Reissner and Kirchhoff plates. Numer. Math. 53, 237-254 (1988)