Control Parametrization and Finite Element Method for Controlling Multi-species Reactive Transport in an Underground Channel

K. H. Wong (), H. W. J. Lee (), C. K. Chan () and C. Myburgh ()
Additional contact information
K. H. Wong: University of the Witwatersrands
H. W. J. Lee: The Hong Kong Polytechnic University
C. K. Chan: The Hong Kong Polytechnic University
C. Myburgh: University of the Witwatersrands

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 1, No 11, 168-187

Abstract: Abstract In this paper, a cleaning program involving effluent discharge of several species in a one-dimensional underground channel is considered. Due to environmental health requirements, the outlet concentration of each species at any time during the entire cleaning activities has to be kept at a certain low level in order to offset the deteriorating effect of contaminant destruction. Thus, a computational scheme using combined control parametrization and finite element method is used to develop a cleaning program to meet the above environmental health requirements. Numerical examples have been used to illustrate the efficiency of our method.

Keywords: Species concentration; Underground channel; Optimal control; Galerkin scheme; Control parametrization (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-012-0148-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:joptap:v:157:y:2013:i:1:d:10.1007_s10957-012-0148-9

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-012-0148-9

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().