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http://dx.doi.org/10.12941/jksiam.2010.14.2.125

ANALYSIS OF VELOCITY-FLUX FIRST-ORDER SYSTEM LEAST-SQUARES PRINCIPLES FOR THE OPTIMAL CONTROL PROBLEMS FOR THE NAVIER-STOKES EQUATIONS  

Choi, Young-Mi (DEPARTMENT OF MATHEMATICS, AJOU UNIVERSITY)
Lee, Hyung-Chun (DEPARTMENT OF MATHEMATICS, AJOU UNIVERSITY)
Publication Information
Journal of the Korean Society for Industrial and Applied Mathematics / v.14, no.2, 2010 , pp. 125-140 More about this Journal
Abstract
This paper develops a least-squares approach to the solution of the optimal control problem for the Navier-Stokes equations. We recast the optimality system as a first-order system by introducing velocity-flux variables and associated curl and trace equations. We show that a least-squares principle based on $L^2$ norms applied to this system yields optimal discretization error estimates in the $H^1$ norm in each variable.
Keywords
optimal control; least-squares finite element methods; Navier-Stokes equations;
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Times Cited By KSCI : 2  (Citation Analysis)
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