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A C-0 interior penalty method for the Dirichlet control problem governed by biharmonic operator

Chowdhury, Sudipto and Gudi, Thirupathi (2017) A C-0 interior penalty method for the Dirichlet control problem governed by biharmonic operator. In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 317 . pp. 290-306.

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Official URL: http://dx.doi.org/10.1016/j.cam.2016.12.005

Abstract

An energy space based Dirichlet boundary control problem governed by biharmonic equation is investigated and subsequently a C-interior penalty method is proposed and analyzed. An abstract a priori error estimate is derived under the minimal regularity conditions. The abstract error estimate guarantees optimal order of convergence whenever the solution is sufficiently regular. Further an optimal order L-2-norm error estimate is derived. Numerical experiments illustrate the theoretical findings. (C) 2016 Elsevier B.V. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 26 Apr 2017 07:22
Last Modified: 26 Apr 2017 07:22
URI: http://eprints.iisc.ac.in/id/eprint/56630

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