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A posteriori error estimates for an optimal control problem of laser surface hardening of steel

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Title A posteriori error estimates 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 method
Residual type estimators
A posteriori error estimates
FINITE-ELEMENT METHODS
PARTIAL-DIFFERENTIAL-EQUATIONS
PARABOLIC PROBLEMS
APPROXIMATION
MODEL
 
Description The main focus of this article is on the development of a posteriori error estimates for an optimal control problem of laser surface hardening of steel, governed by a dynamical system consisting of a semi-linear parabolic equation and an ordinary differential equation. A posteriori error estimators are developed for the variables representing temperature, formation of austenite, and laser energy using residual method when a continuous piecewise linear discretization has been used for the finite element approximation of space variables and a discontinuous Galerkin method has been used for time and control discretizations. The error indicators are used in the implementation and numerical results are obtained.
 
Publisher SPRINGER
 
Date 2014-10-16T13:12:53Z
2014-10-16T13:12:53Z
2013
 
Type Article
 
Identifier ADVANCES IN COMPUTATIONAL MATHEMATICS, 39(1)69-99
http://dx.doi.org/10.1007/s10444-011-9270-8
http://dspace.library.iitb.ac.in/jspui/handle/100/15635
 
Language en