## Abstract A new numerical method is developed for the boundary optimal control problems of the heat conduction equation in the present paper. When the boundary optimal control problem is solved by minimizing the objective function employing a conjugateβgradient method, the most crucial step is th
Boundary control of heat conduction
β Scribed by A. I. Prilepko; A. B. Kostin
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 264 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1046-283X
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π SIMILAR VOLUMES
Existence of positive solutions is established for a class of nonlinear boundary value problems that include steadystate heat conduction problems with radiation at the boundary according to the fourth power radiation law. Existence is established using topological methods and a priori bounds.
We show a highly efficient method to control heat conduction by tuning the periodicity of the external potential. This method provides a possible design of a controlled thermal conductor which can change from a thermal conductor to a thermal insulator. The efficiency of the controlled thermal conduc