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

被引：33

作者：

Da Veiga, L. Beirao

Niiranen, J.

Stenberg, R.

机构：

[1] Univ Milan, Dipartmento Matemat F Enriques, I-20133 Milan, Italy

[2] Helsinki Univ Technol, Inst Math, Helsinki 02015, Finland

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2007年 / 45卷 / 05期

关键词：

finite elements; Kirchhoff plate model; free boundary; a priori error analysis; a posteriori error analysis;

D O I：

10.1137/06067554X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Model. Math. Anal. Numer., 22 (1988), pp. 217-242]. Optimal a priori and a posteriori error estimates are derived.

引用

页码：2047 / 2071

页数：25