Global energy preserving model reduction for multi-symplectic PDEs
Yazarlar (3)
Prof. Dr. Murat UZUNCA Sinop Üniversitesi, Türkiye
Bülent Karasözen
Middle East Technical University (Metu), Türkiye
Middle East Technical University (Metu), Türkiye
Prof. Dr. Ayhan Aydın Atılım Üniversitesi, 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 (2023) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2023 |
| Cilt / Sayı / Sayfa | 436 / 1 / 127483–0 | DOI | 10.1016/j.amc.2022.127483 |
| Makale Linki | http://dx.doi.org/10.1016/j.amc.2022.127483 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| Many Hamiltonian systems can be recast in multi-symplectic form. We develop a reduced-order model (ROM) for multi-symplectic Hamiltonian partial differential equations (PDEs) that preserves the global energy. The full-order solutions are obtained by finite difference discretization in space and the global energy preserving average vector field (AVF) method. The ROM is constructed in the same way as the full-order model (FOM) applying proper orthogonal decomposition (POD) with the Galerkin projection. The reduced-order system has the same structure as the FOM, and preserves the discrete reduced global energy. Applying the discrete empirical interpolation method (DEIM), the reduced-order solutions are computed efficiently in the online stage. A priori error bound is derived for the DEIM approximation to the nonlinear Hamiltonian. The accuracy and computational efficiency of the ROMs are demonstrated … |
| Anahtar Kelimeler |
| discrete empirical interpolation method | energy preservation | Hamiltonian PDE | model reduction | multi-symplecticity | proper orthogonal decomposition |
Science Direct
Global energy preserving model reduction for multi-symplectic PDEs
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 4 |
| Scopus | 6 |
| Google Scholar | 7 |