Linearly implicit methods for Allen-Cahn equation
Yazarlar (2)
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 (2023) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2023 |
| Cilt / Sayı / Sayfa | 450 / 1 / 127984–0 | DOI | 10.1016/j.amc.2023.127984 |
| Makale Linki | http://dx.doi.org/10.1016/j.amc.2023.127984 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| It is well known that the Allen-Cahn equation satisfies a nonlinear stability property, i.e., the free-energy functional decreases in time. Linearly implicit integrators have been developed for energy-preserving methods for conservative systems with polynomial Hamiltonians, which are based on the concept of polarization. In this paper, we construct linearly implicit methods for gradient flows preserving the energy dissipation by polarizing the free-energy functional. Two-step linearly implicit methods are derived for the Allen-Cahn equation inheriting energy dissipation law. Numerical experiments for one-, two-, and three-dimensional Allen-Cahn equations demonstrate the energy dissipation and the accuracy of the linearly implicit methods. |
| Anahtar Kelimeler |
| Allen-Cahn equation | Energy dissipation | Gradient systems | Linearly implicit methods |
Science Direct
Linearly implicit methods for Allen-Cahn equation
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 15 |
| Scopus | 12 |
| Google Scholar | 19 |