Optimal control of convective FitzHugh-Nagumo equation
Yazarlar (4)
Prof. Dr. Murat UZUNCA Türk Hava Kurumu Üniversitesi, Türkiye
Tuğba Küçükseyhan Balıkesir Üniversitesi, Türkiye
Hamdullah Yücel Middle East Technical University (Metu), Türkiye
Bülent Karasözen
Orta Doğu Teknik Üniversitesi, Türkiye
Orta Doğu Teknik Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Computers and Mathematics with Applications (Q1) | ||
| Dergi ISSN | 0898-1221 Dergi Bilgileri (2017) | ||
| Dergi Tarandığı Indeksler | SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2017 |
| Cilt / Sayı / Sayfa | 73 / 9 / 2151–2169 | DOI | 10.1016/j.camwa.2017.02.028 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0898122117301074 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| We investigate smooth and sparse optimal control problems for convective FitzHugh–Nagumo equation with traveling wave solutions in moving excitable media. The cost function includes distributed space–time and terminal observations or targets. The state and adjoint equations are discretized in space by symmetric interior point Galerkin (SIPG) method and by backward Euler method in time. Several numerical results are presented for the control of the traveling waves. We also show numerically the validity of the second order optimality conditions for the local solutions of the sparse optimal control problem for vanishing Tikhonov regularization parameter. Further, we estimate the distance between the discrete control and associated local optima numerically by the help of the perturbation method and the smallest eigenvalue of the reduced Hessian. |
| Anahtar Kelimeler |
| Discontinuous Galerkin method | FitzHugh–Nagumo equation | Second order optimality conditions | Sparse controls | Traveling waves |
Science Direct
Optimal control of convective FitzHugh-Nagumo equation
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 25 |
| Scopus | 24 |
| Google Scholar | 31 |