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Optimization of a heat transfer coefficient in a thermistor problem
by
Volodymyr Hrynkiv
University of Houston-Downtown
Optimal control of a steady state thermistor is considered. The problem is described by a system of two nonlinear elliptic partial differential equations coupled with appropriate boundary conditions. Based on physical considerations, an objective functional to be minimized is introduced and the heat transfer coefficient is taken as the control. Existence and uniqueness of the optimal control are proven. To characterize this optimal control, the optimality system consisting of the state and adjoint equations, is derived.
Date received: March 27, 2009
Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxp-86.