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Optimal control of material concentration using Fourier series
Author(s) -
Fujii Hiroyuki,
Kawahara Mutsuto
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.604
Subject(s) - fourier series , discretization , optimal control , finite element method , fourier transform , mathematics , fourier analysis , discrete fourier series , series (stratigraphy) , mathematical analysis , mathematical optimization , physics , thermodynamics , short time fourier transform , paleontology , biology
This paper presents an optimal control of the material concentration using Fourier series and finite element method. It is assumed that the optimal control value can be expanded into a Fourier series. The Fourier coefficient is identified to minimize the performance function and the optimal control value is determined. The Sakawa–Shindo algorithm is used for the minimization algorithm. The advection–diffusion equation and shallow water equation are used for the analysis of material concentration and water flow. The Crank–Nicolson scheme and finite element method using bubble function element with stabilized control parameter are employed as temporal and special discretization. Copyright © 2004 John Wiley & Sons, Ltd.