Aiyappan, S. and Sardar, Bidhan Chandra (2019) Biharmonic equation in a highly oscillating domain and homogenization of an associated control problem. In: APPLICABLE ANALYSIS, 98 (16). pp. 2783-2801.
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Official URL: http://.doi.org/10.1080/00036811.2018.1471207
Abstract
We consider a Dirichlet boundary control problem posed in an oscillating boundary domain governed by a biharmonic equation. Homogenization of a PDE with a non-homogeneous Dirichlet boundary condition on the oscillating boundary is one of the hardest problems. Here, we study the homogenization of the problem by converting it into an equivalent interior control problem. The convergence of the optimal solution is studied using periodic unfolding operator.
| Item Type: | Journal Article |
|---|---|
| Publication: | APPLICABLE ANALYSIS |
| Publisher: | TAYLOR & FRANCIS LTD |
| Additional Information: | Copyright of this article belongs to Taylor & Francis |
| Keywords: | Homogenization; optimal control; oscillating boundary; unfolding operator |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 04 Jun 2020 10:39 |
| Last Modified: | 04 Jun 2020 10:39 |
| URI: | http://eprints.iisc.ac.in/id/eprint/63797 |
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