Reduced order optimal control of the convective FitzHugh–Nagumo equations
Yazarlar (3)
Bülent Karasözen
Middle East Technical University (Metu), Türkiye
Middle East Technical University (Metu), Türkiye
Prof. Dr. Murat UZUNCA Sinop Üniversitesi, Türkiye
Tuğba Küçükseyhan Balıkesir 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 (2020) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2020 |
| Cilt / Sayı / Sayfa | 79 / 4 / 982–995 | DOI | 10.1016/j.camwa.2019.08.009 |
| Makale Linki | http://dx.doi.org/10.1016/j.camwa.2019.08.009 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this paper, we compare three model order reduction methods: the proper orthogonal decomposition (POD), discrete empirical interpolation method (DEIM) and dynamic mode decomposition (DMD) for the optimal control of the convective FitzHugh–Nagumo (FHN) equations. The convective FHN equations consist of the semi-linear activator and the linear inhibitor equations, modeling blood coagulation in moving excitable media. The semilinear activator equation leads to a non-convex optimal control problem (OCP). The most commonly used method in reduced optimal control is POD. We use DEIM and DMD to approximate efficiently the nonlinear terms in reduced order models. We compare the accuracy and computational times of three reduced-order optimal control solutions with the full order discontinuous Galerkin finite element solution of the convection dominated FHN equations with terminal controls … |
| Anahtar Kelimeler |
| Discontinuous Galerkin method | Discrete empirical interpolation | Dynamic mode decomposition | FitzHugh–Nagumo equation | Optimal control | Proper orthogonal decomposition |
Science Direct
Reduced order optimal control of the convective FitzHugh–Nagumo equations
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 4 |
| Scopus | 4 |
| Google Scholar | 5 |