Gupta, Nupur ; Nataraj, Neela (2013) A posteriori error estimates for an optimal control problem of laser surface hardening of steel Advances in Computational Mathematics, 39 (1). pp. 69-99. ISSN 1019-7168
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Official URL: http://doi.org/10.1007/s10444-011-9270-8
Related URL: http://dx.doi.org/10.1007/s10444-011-9270-8
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG. |
| ID Code: | 122920 |
| Deposited On: | 26 Aug 2021 08:43 |
| Last Modified: | 26 Aug 2021 08:43 |
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