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- Title
Extremum problems of boundary control for a stationary thermal convection model.
- Authors
Alekseev, G. V.; Tereshko, D. A.
- Abstract
The article presents a study on the control problems for the thermal convection model of Oberbeck-Boussinesq. It states that the general control problem was formulated for the model and shows a theorem offering enough conditions on the initial data under which the control problem's solution is stable and unique with regards to small perturbations in the boundary function and cost functional. It discusses the numerical solution algorithm for the control problem basing on Newton's method and discourse numerical results.
- Subjects
CONTROL theory (Engineering); INTEGRAL theorems; ACCELERATION of convergence in numerical analysis; PERTURBATION theory; ALGORITHMS; NEWTON-Raphson method; HEAT transfer; MASS transfer; HYDRODYNAMICS
- Publication
Doklady Mathematics, 2010, Vol 81, Issue 1, p151
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562410010412