Brenner, Susanne C and Gudi, Thirupathi and Porwal, Kamana and Sung, Li-yeng (2018) A MORLEY FINITE ELEMENT METHOD FOR AN ELLIPTIC DISTRIBUTED OPTIMAL CONTROL PROBLEM WITH POINTWISE STATE AND CONTROL CONSTRAINTS. In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 24 (3). pp. 1181-1206.
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Official URL: http://dx.doi.org/10.1051/cocv/2017031
Abstract
We design and analyze a Morley finite element method for an elliptic distributed optimal control problem with pointwise state and control constraints on convex polygonal domains. It is based on the formulation of the optimal control problem as a fourth order variational inequality. Numerical results that illustrate the performance of the method are also presented.
Item Type: | Journal Article |
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Publication: | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS |
Publisher: | EDP SCIENCES S A |
Additional Information: | Copy right for this article belong to EDP SCIENCES S A |
Keywords: | Elliptic distributed optimal control problem; pointwise state and control constraints; fourth order variational inequality; Morley element |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 16 Nov 2018 15:33 |
Last Modified: | 16 Nov 2018 15:33 |
URI: | http://eprints.iisc.ac.in/id/eprint/61082 |
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