Structure preserving reduced order modeling for gradient systems
Yazarlar (3)
Prof. Dr. Tuğba Akman Yıldız Türk Hava Kurumu Üniversitesi, Türkiye
Prof. Dr. Murat UZUNCA Sinop Üniversitesi, Türkiye
Bülent Karasözen
Middle East Technical University (Metu), Türkiye
Middle East Technical University (Metu), Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Applied Mathematics and Computation (Q1) | ||
| Dergi ISSN | 0096-3003 Dergi Bilgileri (2019) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2019 |
| Cilt / Sayı / Sayfa | 347 / 1 / 194–209 | DOI | 10.1016/j.amc.2018.11.008 |
| Makale Linki | https://linkinghub.elsevier.com/retrieve/pii/S0096300318309810 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| Minimization of energy in gradient systems leads to formation of oscillatory and Turing patterns in reaction-diffusion systems. These patterns should be accurately computed using fine space and time meshes over long time horizons to reach the spatially inhomogeneous steady state. In this paper, a reduced order model (ROM) is developed which preserves the gradient dissipative structure. The coupled system of reaction-diffusion equations are discretized in space by the symmetric interior penalty discontinuous Galerkin (SIPG) method. The resulting system of ordinary differential equations (ODEs) are integrated in time by the average vector field (AVF) method, which preserves the energy dissipation of the gradient systems. The ROMs are constructed by the proper orthogonal decomposition (POD) with Galerkin projection. The nonlinear reaction terms are computed efficiently by discrete empirical interpolation … |
| Anahtar Kelimeler |
| Average vector field method | Discontinuous Galerkin method | Discrete empirical interpolation | Gradient systems | Pattern formation | Proper orthogonal decomposition |
Science Direct
Structure preserving reduced order modeling for gradient systems
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 2 |
| Scopus | 3 |
| Google Scholar | 5 |