The solution of a state constrained optimal control problem by the right-hand side of an elliptic equation
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 4, pp. 56-67
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The article deals with grid approximation of a state and control constrained optimal control problem by a finite element or finite difference method. The control function is the right hand side of a linear elliptic equation. The convergence of the iterative solution methods for the discrete problem is investigated both theoretically and numerically. The comparison of the numerical results for the different iterative methods is done.
Keywords:
optimal control, constrained saddle point problems, finite element method, iterative method.
@article{UZKU_2010_152_4_a4,
author = {A. V. Lapin and M. G. Khasanov},
title = {The solution of a state constrained optimal control problem by the right-hand side of an elliptic equation},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {56--67},
publisher = {mathdoc},
volume = {152},
number = {4},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2010_152_4_a4/}
}
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A. V. Lapin; M. G. Khasanov. The solution of a state constrained optimal control problem by the right-hand side of an elliptic equation. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 4, pp. 56-67. http://geodesic.mathdoc.fr/item/UZKU_2010_152_4_a4/