A regularized gradient-projection method in a parabolic optimal-control problemстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Местоположение издательства:Road Town, United Kingdom
Первая страница:1075
Последняя страница:1083
Аннотация:An optimal control problem for a linear parabolic system in one space dimension, with boundary conditions of the third kind, is considered. Estimates, consistent with the smoothness of the generalized solution, are obtained for the rate of convergence of projection-difference approximations in relation to the state, the objective functional and the gradient. Conditions are established that guarantee convergence, relative to the Tikhonov regularization argument, of the gradient-projection method, in a situation where the clustering difference grids, gradient descent step and regularization parameter are selected in advance.