Analysis and approximation of optimal control problems for a simplified Ginzburg-Landau model of superconductivity

Autor:	L. Steven Hou, Sivaguru S. Ravindran, Max D. Gunzburger
Rok vydání:	1997
Předmět:	Superconductivity Applied Mathematics Numerical analysis Mathematical analysis Type (model theory) Optimal control Finite element method Computational Mathematics symbols.namesake Lagrange multiplier Neumann boundary condition symbols Ginzburg landau Mathematics
Zdroj:	Numerische Mathematik. 77:243-268
ISSN:	0945-3245 0029-599X
DOI:	10.1007/s002110050285
Popis:	This paper is concerned with optimal control problems for a Ginzburg-Landau model of superconductivity that is valid for high values of the Ginzburg-Landau parameter and high external fields. The control is of Neumann type. We first show that optimal solutions exist. We then show that Lagrange multipliers may be used to enforce the constraints and derive an optimality system from which optimal states and controls may be deduced. Then we define finite element approximations of solutions for the optimality system and derive error estimates for the approximations. Finally, we report on some numerical results.
Databáze:	OpenAIRE
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