A Semi-smooth Newton Method for Optimal Boundary Control of a Nonlinear Reaction-diffusion System Msc–267
نویسنده
چکیده
This paper is concerned with optimal boundary control of an instationary reaction-diffusion system in three spatial dimensions. This problem involves a coupled nonlinear system of parabolic differential equations with bilateral as well as integral control constraints. The integral constraint is included in the cost by a penalty term whereas the bilateral control constraints are handled explicitly. First-order conditions for the optimization problem are given. A semi-smooth Newton method is utilized to compute optimal solutions numerically.
منابع مشابه
Analysis for Optimal Boundary Control for a Three-dimensional Reaction-diffusion System
This paper is concerned with optimal boundary control of an instationary reaction-diffusion system in three spatial dimensions. This problem involves a coupled nonlinear system of parabolic differential equations with bilateral as well as integral control constraints. The integral constraint is included in the cost by a penalty term whereas the bilateral control constraints are handled explicit...
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تاریخ انتشار 2005