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A Distributed Control Approach for the Boundary Optimal Control of the Steady MHD Equations

Published online by Cambridge University Press:  03 June 2015

G. Bornia ,
M. Gunzburger  and
S. Manservisi
G. Bornia*
Affiliation:
Laboratory of Nuclear Engineering of Montecuccolino, DIENCA, University of Bologna, Italy
M. Gunzburger*
Affiliation:
Department of Scientific Computing, Florida State University, USA
S. Manservisi*
Affiliation:
Laboratory of Nuclear Engineering of Montecuccolino, DIENCA, University of Bologna, Italy
*
Corresponding author.Email:gunzburg@fsu.edu
Email:giorgio.bornia@unibo.it
Email:sandro.manservisi@unibo.it
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Abstract

A new approach is presented for the boundary optimal control of the MHD equations in which the boundary control problem is transformed into an extended distributed control problem. This can be achieved by considering boundary controls in the form of lifting functions which extend from the boundary into the interior. The optimal solution is then sought by exploring all possible extended functions. This approach gives robustness to the boundary control algorithm which can be solved by standard distributed control techniques over the interior of the domain.

Keywords

49J2093C2075W0565N30Boundary controloptimal controlmagnetohydrodynamicsfinite element methods
Type
Research Article
Information
Communications in Computational Physics , Volume 14 , Issue 3 , September 2013 , pp. 722 - 752
Copyright
Copyright © Global Science Press Limited 2013

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