Gupta, Nupur ; Nataraj, Neela (2014) A dual weighted residual method for an optimal control problem of laser surface hardening of steel Mathematics and Computers in Simulation, 103 . pp. 12-32. ISSN 0378-4754
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Official URL: http://doi.org/10.1016/j.matcom.2013.12.007
Related URL: http://dx.doi.org/10.1016/j.matcom.2013.12.007
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 122918 |
| Deposited On: | 26 Aug 2021 08:28 |
| Last Modified: | 26 Aug 2021 08:28 |
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