A superconvergent scheme for a locking-free FEM in a Timoshenko optimal control problem

被引：2

作者：

Hernandez, Erwin ^{[1
]}

Otarola, Enrique ^{[2
]}

机构：

[1] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2011年 / 91卷 / 04期

关键词：

Locking free scheme; Timoshenko beam; superconvergence; optimal control problem; FINITE-ELEMENT; DISCRETIZATION; APPROXIMATION; BEAM;

D O I：

10.1002/zamm.201000128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we analyze the numerical approximation of an optimal control problem of a Timoshenko beam, by considering two kinds of distributed control. The discretization of the control variables is performed by using piecewise constant functions. The states and the adjoint states are approximated by a locking free scheme of linear finite elements. An interpolation postprocessing technique is used for the approximations of the optimal solution of the continuous optimal control problem. It is proved that these approximations have superconvergence order h(2), which do not depend on the thickness of the beam. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：288 / 299

页数：12

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