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
收藏
页码：2047 / 2071
页数：25
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