Back to Search
Start Over
Optimal Control of Convection-Cooling and Numerical Implementation
- Publication Year :
- 2020
-
Abstract
- This paper is concerned with the problem of enhancing convection-cooling via active control of the incompressible velocity field, described by a stationary diffusion-convection model. This essentially leads to a bilinear optimal control problem. A rigorous proof of the existence of an optimal control is presented and the first order optimality conditions are derived for solving the control using a variational inequality. Moreover, the second order sufficient conditions are established to characterize the local minimizer. Finally, numerical experiments are conducted utilizing finite elements methods together with nonlinear iterative schemes, to demonstrate and validate the effectiveness of our control design.<br />Comment: 24 pages, 17 figures
- Subjects :
- Mathematics - Optimization and Control
49M41, 49M15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2009.01936
- Document Type :
- Working Paper