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 publicationJournal articleAcademic researchpeer-review

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 languageEnglish
Pages (from-to)168-187
Number of pages20
JournalJournal of Optimization Theory and Applications
Volume157
Issue number1
DOIs
Publication statusPublished - 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

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