%0 Journal Article
%T Finite element approach to linear parabolic pointwise control problems of incomplete data
%A Mahoui, Sihem
%A Moulay, Mohamed Said
%A Omrane, Abdennebi
%J International Journal of Systems Science
%D 2020
%V 51
%N 14
%I TAYLOR & FRANCIS LTD
%F Mahoui_etal2020
%O exported from refbase (http://php.ecofog.gf/refbase/show.php?record=935), last updated on Tue, 01 Dec 2020 08:29:05 -0300
%X In this paper we give a priori error estimates for finite element approximations of linear parabolicproblems with pointwise control and incomplete data. We discretise the optimal control problemby using piecewise linear and continuous finite elements for the space discretisation of the state,and we use the backward Euler scheme for time discretisation. We prove a priori error estimates forthe state, the adjoint-state as well as for the low-regret pointwise optimal control.
%K Optimal control problem
%K low-regret control
%K pointwise control
%K finite element method
%K a priori error estimates
%U http://dx.doi.org/0.1080/00207721.2020.1799107
%P 2597-2609