Pal, Arnab ; Gudi, Thirupathi (2024) Convergence and quasi-optimality of an AFEM for the Dirichlet boundary control problem IMA Journal of Numerical Analysis . ISSN 0272-4979
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Official URL: https://doi.org/10.1093/imanum/drae092
Related URL: http://dx.doi.org/10.1093/imanum/drae092
Abstract
In this article, convergence and quasi-optimal rate of convergence of an Adaptive Finite Element Method is shown for the Dirichlet boundary control problem that was proposed by Chowdhury et al. (2017, Error bounds for a Dirichlet boundary control problem based on energy spaces, Math. Comp., 86, 1103–1126). The theoretical results are illustrated by numerical experiments.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Oxford University Press. |
| Keywords: | Optimal Control; Dirichlet Control; Finite Element; Adaptive Finite Element; A Posteriori Estimates; Quasi-Orthogonality; Adaptive Convergence; Uasi-Optimal Convergence Rate |
| ID Code: | 141608 |
| Deposited On: | 02 Dec 2025 05:33 |
| Last Modified: | 02 Dec 2025 05:33 |
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