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

K. H. Wong; Heung Wing Joseph Lee; Chi Kin Chan; C. Myburgh

doi:10.1007/s10957-012-0148-9

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

K. H. Wong, Heung Wing Joseph Lee, Chi Kin Chan, C. Myburgh

Research output: Journal article publication › Journal article › Academic research › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	168-187
Number of pages	20
Journal	Journal of Optimization Theory and Applications
Volume	157
Issue number	1
DOIs	https://doi.org/10.1007/s10957-012-0148-9
Publication status	Published - 1 Apr 2013

Keywords

Control parametrization
Galerkin scheme
Optimal control
Species concentration
Underground channel

ASJC Scopus subject areas

Applied Mathematics
Control and Optimization
Management Science and Operations Research

More information

10.1007/s10957-012-0148-9

Cite this

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Control Parametrization and Finite Element Method for Controlling Multi-species Reactive Transport in an Underground Channel. / Wong, K. H.; Lee, Heung Wing Joseph; Chan, Chi Kin et al.
In: Journal of Optimization Theory and Applications, Vol. 157, No. 1, 01.04.2013, p. 168-187.

Research output: Journal article publication › Journal article › Academic research › peer-review

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

Abstract

Keywords

ASJC Scopus subject areas

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