Year: 2009
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 4 : pp. 525–542
Abstract
In this paper, we study adaptive finite element discretization schemes for an optimal control problem governed by elliptic PDE with an integral constraint for the state. We derive the equivalent a posteriori error estimator for the finite element approximation, which particularly suits adaptive multi-meshes to capture different singularities of the control and the state. Numerical examples are presented to demonstrate the efficiency of a posteriori error estimator and to confirm the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2009.27.4.017
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 4 : pp. 525–542
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: State-constrained optimal control problem Adaptive finite element method A posteriori error estimate.