Chowdhury, Sudipto and Gudi, Thirupathi and Nandakumaran, AK (2015) A FRAMEWORK FOR THE ERROR ANALYSIS OF DISCONTINUOUS FINITE ELEMENT METHODS FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS AND APPLICATIONS TO C-0 IP METHODS. In: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 36 (11). pp. 1388-1419.
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In this article, an abstract framework for the error analysis of discontinuous Galerkin methods for control constrained optimal control problems is developed. The analysis establishes the best approximation result from a priori analysis point of view and delivers a reliable and efficient a posteriori error estimator. The results are applicable to a variety of problems just under the minimal regularity possessed by the well-posedness of the problem. Subsequently, the applications of C-0 interior penalty methods for a boundary control problem as well as a distributed control problem governed by the biharmonic equation subject to simply supported boundary conditions are discussed through the abstract analysis. Numerical experiments illustrate the theoretical findings.
| Item Type: | Journal Article |
|---|---|
| Publication: | NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION |
| Publisher: | TAYLOR & FRANCIS INC |
| Additional Information: | Copyright for this article belongs to the TAYLOR & FRANCIS INC, 530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA |
| Keywords: | Biharmonic; (CIP)-I-0 method; Discontinuous Galerkin; Error bounds; Finite element; Optimal control; Simply supported plate |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 02 Dec 2015 08:27 |
| Last Modified: | 02 Dec 2015 08:27 |
| URI: | http://eprints.iisc.ac.in/id/eprint/52837 |
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