Error analysis of variational discretization solving temperature control problems

Yuelong Tang
2013 Journal of Inequalities and Applications  
In this paper, we consider variational discretization solving temperature control problems with pointwise control constraints, where the state and the adjoint state are approximated by piecewise linear finite element functions, while the control is not directly discretized. We derive a priori error estimates of second-order for the control, the state and the adjoint state. Moreover, we obtain a posteriori error estimates. Finally, we present some numerical algorithms for the control problem and
more » ... control problem and do some numerical experiments to illustrate our theoretical results.
doi:10.1186/1029-242x-2013-450 fatcat:k6d3zfbv3ffydlywljnd7nclci