A new finite element formulation for the Kirchhoff plate model is presented. The method is a displacement formulation with the deflection and the rotation vector as unknowns, and it is based on ideas stemming from a stabilized method for the Reissner–Mindlin model [R. Stenberg, in Asymptotic Methods for Elastic Structures, P. Ciarlet, L. Trabucho, and J. M. Viano, eds., de Gruyter, Berlin, 1995] and a method to treat a free boundary [P. Destuynder and T. Nevers, RAIRO Modél. Math. Anal. Numér., 22 (1988), pp. 217–242]. Optimal a priori and a posteriori error estimates are derived.

BEIRAO DA VEIGA, L., Niiranen, J., Stenberg, R. (2007). A family of C0 finite elements for Kirchhoff plates I: error analysis. SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(5), 2047-2071 [10.1137/06067554X].

A family of C0 finite elements for Kirchhoff plates I: error analysis

BEIRAO DA VEIGA, LOURENCO
Primo
;
2007

Abstract

A new finite element formulation for the Kirchhoff plate model is presented. The method is a displacement formulation with the deflection and the rotation vector as unknowns, and it is based on ideas stemming from a stabilized method for the Reissner–Mindlin model [R. Stenberg, in Asymptotic Methods for Elastic Structures, P. Ciarlet, L. Trabucho, and J. M. Viano, eds., de Gruyter, Berlin, 1995] and a method to treat a free boundary [P. Destuynder and T. Nevers, RAIRO Modél. Math. Anal. Numér., 22 (1988), pp. 217–242]. Optimal a priori and a posteriori error estimates are derived.
Articolo in rivista - Articolo scientifico
finite elements; Kirchhoff plate model; free boundary; a priori error analysis; a posteriori error analysis
English
2047
2071
25
BEIRAO DA VEIGA, L., Niiranen, J., Stenberg, R. (2007). A family of C0 finite elements for Kirchhoff plates I: error analysis. SIAM JOURNAL ON NUMERICAL ANALYSIS, 45(5), 2047-2071 [10.1137/06067554X].
BEIRAO DA VEIGA, L; Niiranen, J; Stenberg, R
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/99878
Citazioni
  • Scopus 30
  • ???jsp.display-item.citation.isi??? 28
Social impact