Please use this identifier to cite or link to this item: http://hdl.handle.net/11422/2663
Type: Relatório
Title: On numerical approximation of an optimal control problem in linear elasticity
Author(s)/Inventor(s): Rincon, Mauro Antônio
Liu, I-Shih
Abstract: In this paper we apply the optimal control theory to a linear elasticity problem. An iterative method based on the optimality system characterizing the corresponding minimization of a cost functional is proposed. Convergence of the approximate solutions is proved provided that a parameter of penalization is not too small. Numerical solutions are presented to emphasize the role of this parameter. It is shown that the results are far from being good approximations of the expected ones, because the parameter can not be taken small enough in the iteration method. On the other hand, numerical results from a spectral analysis are shown without this limitation by the use of eigenfunction representations.
Keywords: Iterative method
Elasticidade linear
Método dos elementos finitos
Linear elasticity
Finite element method
Optimal control
Subject CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO::MATEMATICA DA COMPUTACAO::MODELOS ANALITICOS E DE SIMULACAO
Department : Instituto Tércio Pacitti de Aplicações e Pesquisas Computacionais
In: Relatório Técnico NCE
Issue: 3599
Issue Date: 31-Dec-1999
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
Citation: RINCON, M. A.; LIU. I. On numerical approximation of an optimal control problem in linear elasticity.. Rio de Janeiro: NCE, UFRJ, 1999. 13 p. (Relatório Técnico, 35/99)
URI: http://hdl.handle.net/11422/2663
Appears in Collections:Relatórios Técnicos e de Pesquisa

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