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BY-NC-ND 4.0 license Open Access Published by De Gruyter January 1, 2011

Quasi-optimality of an Adaptive Finite Element Method for an Optimal Control Problem

  • Roland Becker EMAIL logo and Shipeng Mao


We prove quasi-optimality of an adaptive finite element algorithm for a model problem of optimal control including control constraints. The quasi-optimility expresses the fact that the decrease of error with respect to the number of mesh cells is optimal up to a constant. The considered algorithm is based on an adaptive marking strategy which compares a standard residualtype a posteriori error estimator with a data approximation term in each step of the algorithm in order to adapt the marking of cells.

Received: 2011-02-10
Revised: 2011-04-16
Accepted: 2011-04-21
Published Online: 2011
Published in Print: 2011

© Institute of Mathematics, NAS of Belarus

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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