A NEW FINITE ELEMENT METHOD FOR KIRCHHOFF PLATES

被引：0
|
作者：
da Veiga, Lourenco Beirao [1 ]
Niiranen, Jarkko [2 ]
Stenberg, Rolf [2 ]
机构：
[1] Dipartimento Matemat Federigo Enriques, Via Saldini 50, I-20133 Milan, Italy
[2] Aalto Univ, Inst Math, FIN-02150 Espoo, Finland
来源：
APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY II | 2007年 / 75卷
关键词：
finite elements; Kirchhoff plate model; biharmonic problem; free boundary; a-priori error analysis; a-posteriori error analysis;
D O I：
10.1142/9789812709394_0012
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Based on the ideas from Refs. 1 and 2 we present a new finite element method for the Kirchhoff plate bending model.(3) The method uses C-0 basis functions for the deflection and the rotation, i.e. the same approach as used for the Reissner-Mindlin model. To account for the effective shear force at the free boundary a stabilization term is added. We prove optimal a-priori and a-posteriori error estimates. The corresponding results from benchmark problems arc also reported.
引用
收藏
页码：125 / +
页数：4
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