Chowdhury, Sudipto ; Gudi, Thirupathi ; Nandakumaran, A. K. (2016) Error bounds for a Dirichlet boundary control problem based on energy spaces Mathematics of computation, 86 (305). pp. 1103-1126. ISSN 0025-5718
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Official URL: https://doi.org/10.1090/mcom/3125
Related URL: http://dx.doi.org/10.1090/mcom/3125
Abstract
In this article, an alternative energy-space based approach is proposed for the Dirichlet boundary control problem and then a finite-element based numerical method is designed and analyzed for its numerical approximation. A priori error estimates of optimal order in the energy norm and the L2-norm are derived. Moreover, a reliable and efficient a posteriori error estimator is derived with the help of an auxiliary problem. The theoretical results are illustrated by the numerical experiments.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| ID Code: | 141581 |
| Deposited On: | 02 Dec 2025 07:53 |
| Last Modified: | 02 Dec 2025 07:53 |
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