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ON THE OPTIMAL CONTROL PROBLEM OF LASER SURFACE HARDENING

DSpace at IIT Bombay

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Title ON THE OPTIMAL CONTROL PROBLEM OF LASER SURFACE HARDENING
 
Creator GUPTA, N
NATARAJ, N
PANI, AK
 
Subject steel
laser surface hardening of steel
semilinear parabolic equation
ode with non-differentiable forcing function
regularized heaviside function
regularised problem
convergence with respect to regularization parameter
numerical experiments
 
Description We discuss an optimal control problem of laser surface hardening of steel which is governed by a dynamical system consisting of a semilinear parabolic equation and an ordinary differential equation with a non differentiable right hand side function f(+). To avoid the numerical and analytic difficulties posed by f(+), it is regularized using a monotone Heaviside function and the regularized problem has been studied in literature. In this article, we establish the convergence of solution of the regularized problem to that of the original problem. The estimates, in terms of the regularized parameter, justify the existence of solution of the original problem. Finally, a numerical experiment is presented to illustrate the effect of regularization parameter on the state and control errors.
 
Publisher ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
 
Date 2011-08-04T07:03:58Z
2011-12-26T12:54:36Z
2011-12-27T05:42:41Z
2011-08-04T07:03:58Z
2011-12-26T12:54:36Z
2011-12-27T05:42:41Z
2010
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 7(4), 667-680
1705-5105
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9278
http://hdl.handle.net/10054/9278
 
Language en