Journal article
An optimal control problem for microwave heating
Nonlinear analysis, Vol.75(4), pp.2024-2036
2012
Handle:
https://hdl.handle.net/2376/116473
Abstract
In this paper, we study an optimization problem for a microwave/induction heating process. The cost function is defined such that the temperature profile at the final stage has a relative uniform distribution in the field. The control variable is the applied electric field on the boundary. We show that there exists an optimal electric field which minimizes the cost function. Moreover, a necessary condition for a special case is also derived.
Metrics
28 Record Views
Details
- Title
- An optimal control problem for microwave heating
- Creators
- Wei Wei - Guizhou UniversityHong-Ming Yin - Department of Mathematics, Washington State University, Pullman, WA 99164, USAJuming Tang - Department of Biological System Engineering, Washington State University, Pullman, WA 99164, USA
- Publication Details
- Nonlinear analysis, Vol.75(4), pp.2024-2036
- Academic Unit
- Department of Biological Systems Engineering; Department of Mathematics and Statistics
- Publisher
- Elsevier Ltd
- Identifiers
- 99900548587701842
- Language
- English
- Resource Type
- Journal article