Control Parametrization and Finite Element Method for Controlling Multi-species Reactive Transport in a Rectangular Diffuser Unit

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

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

Abstract

The paper describes a problem involving optimal effluent release in a rectangular diffuser unit. The total amount of effluent released is to be maximized while observing given concentration bounds at the release end of the unit. The effluent degrades while passing through the unit. A computational scheme using combined control parametrization and finite element method is developed for solving the problem. Numerical examples have been solved to illustrate the efficiency of our method.
Original languageEnglish
Pages (from-to)118-141
Number of pages24
JournalJournal of Optimization Theory and Applications
Volume150
Issue number1
DOIs
Publication statusPublished - 1 Jul 2011

Keywords

  • Approximation of state equations
  • Control parametrization
  • Galerkin scheme
  • Non-negativity requirement of state variables
  • Optimal control
  • Rectangular diffuser unit

ASJC Scopus subject areas

  • Applied Mathematics
  • Control and Optimization
  • Management Science and Operations Research

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