Upper and lower error bounds for plate-bending finite elements

Numerische Mathematik

Volumn 84, Issue 4, 2000, Pages 611-648

  Pitkäranta, Juhani ^a   Suri, Manil ^b  

^a AALTO UNIVERSITY   (Finland)

^b UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040807705     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050012     Document Type: Article

References (11)

1. Arnold, D.N., Brezzi, F. (1993): 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, pp. 287-292, Masson
2. Arnold, D.N., Falk, R.S. (1989): A uniformly accurate finite element method for the Reissner-Mindlin plate. SIAM J. Numer. Anal. 26, 1776-1290
3. Arnold, D.N., Falk, R.S. (1990): The boundary layer for the Reissner-Mindlin plate model. SIAM J. Math. Anal. 21, 281-312
4. Arnold, D.N., Falk, R.S. (1996): Asymptotic analysis of the boundary layer for the Reissner-Mindlin plate model. SIAM J. Math. Anal. 27, 486-514
5. Arnold, D.N., Liu, X. (1997): Interior estimates for a low-order finite element method for the Reissner-Mindlin plate. Advances in Computational Mathematics 7, 337-360
6. Bathe, K.J., Brezzi, F., Fortin, M.(1989): Mixed-interpolated elements for Reissner-Mindlin plates. Int. J. Num. Meth. Engrg. 28, 1787-1801
7. 3AS. 1, 125-151
8. 3AS)
9. Ciarlet, P.G. (1978): The Finite Element Method for Elliptic Problems. North-Holland, New York
10. Duran, R., Liberman, L. (1992): On mixed finite element methods for the Reissner-Mindlin plate model. Math. Comp. 58, 561-573
11. Pitkäranta, J., Suri, M. (1996): Design principles and error analysis for reduced-shear plate-bending finite elements. Numer. Math. 75, 223-266