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Journal Articles Computational Methods in Applied Mathematics Year : 2011

Quasi-optimality of an adaptive finite element method for an optimal control problem

Abstract

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 residual-type a posteriori error estimator with a data approximation term in each step of the algorithm in order to adapt the marking of cells. © 2011 Institute of Mathematics.
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Dates and versions

hal-00864716 , version 1 (23-09-2013)

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  • HAL Id : hal-00864716 , version 1

Cite

R. Becker, S. Mao. Quasi-optimality of an adaptive finite element method for an optimal control problem. Computational Methods in Applied Mathematics, 2011, 11 (2), pp.107-128. ⟨hal-00864716⟩
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