Linear feedback control for convection-diffusion

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International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Online from: 1991

Subject Area: Mechanical & Materials Engineering

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Document Information:
Title:	Linear feedback control for convection-diffusion
Author(s):	Christos Kavouklis, (Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, Texas, USA), Graham F. Carey, (Texas Institute for Computational and Applied Mathematics, University of Texas at Austin, Austin, Texas, USA)
Citation:	Christos Kavouklis, Graham F. Carey, (2003) "Linear feedback control for convection-diffusion", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 13 Iss: 3, pp.365 - 382
Keywords:	Convection, Convergence, Diffusion, Feedback control, Finite elements
Article type:	Research Paper
DOI:	10.1108/09615530310464544 (Permanent URL)
Publisher:	MCB UP Ltd
Abstract:	This study is concerned with linear feedback control in finite element modeling of transient convection-diffusion in an incompressible fluid. Our aim is to introduce a linear feedback that solves the corresponding tracking problem for any sufficiently smooth target temperature field. The control aspects are discussed and we summarize convergence results. Numerical results for a test problem are included to illustrate the approach.