Residual-based a posteriori error control for Space-time finite element approximations of parabolic optimal control problems |
| |
| Authors: | Wei Gong Michael Hinze Zhaojie Zhou |
| |
| Institution: | 1. Institute of Computational Mathematics, The State Key Laboratory of Scientific and Engineering Computing (LSEC), Academy of Mathematics and Systems Science, Chinese Academy of Sciences.;2. University of Hamburg, Department of Mathematics, Bundesstraße 55, 20146 Hamburg.;3. School of Mathematics Science, Shendong Normal University, 250014 Ji'nan, China. |
| |
| Abstract: | In this paper we investigate a space-time finite element approximation of parabolic optimal control problems. The first order optimality conditions are transformed into an elliptic equation of fourth order in space and second order in time involving only the state or the adjoint state in the space-time domain. We derive a priori and a posteriori error estimates for the time discretization of the state and the adjoint state. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
| |
| Keywords: | |
|
|
