Computations of boundary optimal control problems for an electrically conducting fluid

Journal of Computational Physics

Volumn 128, Issue 2, 1996, Pages 319-330

  Hou, L S ^a   Ravindran, S S ^b  

^a YORK UNIVERSITY   (Canada)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; ITERATIVE METHODS; NONLINEAR EQUATIONS; OPTIMAL CONTROL SYSTEMS;

BOUNDARY OPTIMAL CONTROL; ELECTRICAL CURRENT; ELECTRICAL POTENTIAL FIELD; ELECTRICALLY CONDUCTING FLUIDS; FLOW DOMAINS; OPTIMAL CONTROL PROBLEM; OPTIMALITY SYSTEM; POTENTIAL GRADIENTS; SYSTEMS OF EQUATIONS; VELOCITY FIELD;

LAGRANGE MULTIPLIERS;

EID: 0030588025     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0213     Document Type: Article

References (13)

1. 1. J. Blum, Numerical Simulation and Optimal Control in Plasma Physics: With Applications to Tokamaks (Gauthier-Villars, Paris, 1989).
2. 2. V. Girault and P.-A. Raviart, Finite Element Methods for Navier-Stokes Equations (Springer-Verlag, Berlin, 1986).
3. 3. M. D. Gunzburger, Finite Element Methods for Viscous Incompressible Flow: A Guide to Theory, Practice and Algorithm (Academic Press, Boston, 1989).
4. 4. L. S. Hou and A. J. Meir, J. Appl. Math. Optim. 32, 143 (1995).
5. 5. L. S. Hou and J. Peterson, Nonlinear Anal. 24, 857 (1995).
6. 6. L. S. Hou and S. S. Ravindran, Finite element approximation of optimal control problems for electrically conducting fluids, in Proc. Sympos. Appl. Math., Vol. 48 (Amer. Math. Soc.), Providence, RI, (1994), p. 305.
7. 7. H. K. Moffatt, "Electrically Driven Steady Flows in Magnetohydrodynamics, in Proceedings, 11th International Congress of Applied Mechanics, 1964, p. 946.
8. 8. J. Peterson, Numer. Methods Partial Differential Equations 4, 57 (1988).
9. 9. S. S. Ravindran, Ph.D. thesis, Simon Fraser University, August 1994 (unpublished).
10. 10. C. Taylor and P. Hood, Comput. Fluids 1, 73 (1973).
11. 11. V. Tikhomirow, Fundamental Principles of the Theory of External Problems (Wiley, Chichester, 1982).
12. 12. J. S. Walker, "Large Interaction Parameter Magnetohydrodynamics and Applications in Fusion Reactor Technology," in Fluid Mechanics in Energy Conversion, edited by J. Buchmaster (SIAM, Philadelpia, 1980).
13. 13. N. Winowich and W. Hughes, "A Finite Element Analysis of Two-Dimensional MHD Flows," in Liquid-Metal Flows and Magnetohydrodynamics, edited by H. Branover, P. S. Lykoudis, and A. Yakhot (AIAA, New York, 1983).