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A dual weighted residual method for an optimal control problem of laser surface hardening of steel

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Title A dual weighted residual method for an optimal control problem of laser surface hardening of steel
 
Creator GUPTA, N
NATARAJ, N
 
Subject Laser surface hardening of steel problem
Adaptive finite element methods
Dual weighted residual method
A posteriori error estimates
 
Description The main focus of this article is on analyzing and implementing a dual weighted residual (DWR) approach for an optimal control problem of laser surface hardening of steel. The problem which is governed by a dynamical system consisting of a semi-linear parabolic equation and an ordinary differential equation is discretized using the finite element method. A posteriori error estimates are derived and an adaptive algorithm is formulated. The numerical experiments justify the theoretical results obtained. (C) 2014 IMACS. Published by Elsevier B.V. All rights reserved.
 
Publisher ELSEVIER SCIENCE BV
 
Date 2014-12-28T15:18:56Z
2014-12-28T15:18:56Z
2014
 
Type Article
 
Identifier MATHEMATICS AND COMPUTERS IN SIMULATION, 10312-32
0378-4754
1872-7166
http://dx.doi.org/10.1016/j.matcom.2013.12.007
http://dspace.library.iitb.ac.in/jspui/handle/100/16854
 
Language English