PT Journal
AU Mahoui, S
   Moulay, MS
   Omrane, A
TI Finite element approach to linear parabolic pointwise control problems of incomplete data
SO International Journal of Systems Science
PY 2020
BP 2597
EP 2609
VL 51
IS 14
DI 0.1080/00207721.2020.1799107
DE Optimal control problem; low-regret control; pointwise control; finite element method; a priori error estimates
AB 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.
ER