- Tytuł:
- Optimal control of partial differential equations with affine control constraints
- Autorzy:
-
Reyes, J. R. de los
Kunisch, K. - Tematy:
-
optimal control
affine control constraints
semi-smooth Newton methods - Pokaż więcej
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Powiązania:
- https://bibliotekanauki.pl/articles/1839187.pdf Link otwiera się w nowym oknie
- Opis:
- Numerical solution of PDE optimal control problems involving affine pointwise control constraints is investigated. Optimality conditions are derived and a semi-smooth Newton method is presented. Global and local superlinear convergence of the method are obtained for linear problems. Differently from box constraints, in the case of general affine constraints a proper weighting of the control costs is essential for superlinear convergence of semi-smooth Newton methods. This is also demonstrated numerically by controlling the two-dimensional Stokes equations with different kinds of affine constraints.
- Dostawca treści:
- Biblioteka Nauki
Artykuł