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Variational Discretization of Parabolic Control Problems in the Presence of Pointwise State Constraints

Variational Discretization of Parabolic Control Problems in the Presence of Pointwise State Constraints
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Year:    2011

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 1 : pp. 1–15

Abstract

We consider a parabolic optimal control problem with pointwise state constraints. The optimization problem is approximated by a discrete control problem based on a discretization of the state equation by linear finite elements in space and a discontinuous Galerkin scheme in time. Error bounds for control and state are obtained both in two and three space dimensions. These bounds follow from uniform estimates for the discretization error of the state under natural regularity requirements.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1006-m3213

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 1 : pp. 1–15

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Parabolic optimal control problem State constraints Error estimates.

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