A Variational Technique for Optimal Boundary Control in A Hyperbolic Problem
Yazarlar (3)
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | APPLIED MATHEMATICS AND COMPUTATION | ||
| Dergi ISSN | 0096-3003 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2012 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-02-2012 |
| Cilt / Sayı / Sayfa | 218 / 12 / 6629–6636 | DOI | 10.1016/j.amc.2011.12.053 |
| Makale Linki | https://linkinghub.elsevier.com/retrieve/pii/S0096300311015402 | ||
| UAK Araştırma Alanları |
İlköğretim Matematik Eğitimi
|
||
| Özet |
| We investigate the problem of controlling the boundary functions in a one dimensional hyperbolic problem by minimizing the functional including the final state. After proving the existence and uniqueness of the solution to the given optimal control problem, we get the Frechet differential of the functional and give the necessary condition to the optimal solution in the form of the variational inequality via the solution of the adjoint problem. We constitute a minimizing sequence by the method of projection of the gradient and prove its convergence to the optimal solution. |
| Anahtar Kelimeler |
| Variational methods | Optimal boundary control | Hyperbolic problem |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 2 |
| Google Scholar | 4 |