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

Nupur Gupta and Neela Nataraj

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 103, issue C, 12-32

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.

Keywords: Laser surface hardening of steel problem; Adaptive finite element methods; Dual weighted residual method; A posteriori error estimates (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475414000494
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:103:y:2014:i:c:p:12-32

DOI: 10.1016/j.matcom.2013.12.007

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().