State-constrained optimal control of an elliptic equation with its right-hand side used as control function
А. В. ЛапинDepartment of Mathematical Statistics, Kazan (Volga Region) Federal University, ul. Kremlevskaya 18, Kazan, 420008, RussiaM. G. KhasanovChebotarev Research Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Universitetskaya ul. 17, Kazan, 420008, Tatarstan, Russia
2011en
ABI
Аннотация
A grid approximation is considered for the control-and-state-constrained optimal control of a linear elliptic equation with its right-hand side used as a control function. The resulting finite-dimensional problem is solved by using iterative methods, whose convergence is analyzed theoretically and numerically. Numerical results produced by different methods are compared.
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