Energy stable interior penalty discontinuous Galerkin finite element method for Cahn-Hilliard equation
Yazarlar (3)
Ayşe Sarlaydln-Filibelioǧlu 100. Yll University, Türkiye
Bülent Karasözen
Middle East Technical University (Metu), Türkiye
Middle East Technical University (Metu), Türkiye
Prof. Dr. Murat UZUNCA Türk Hava Kurumu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | International Journal of Nonlinear Sciences and Numerical Simulation (Q2) | ||
| Dergi ISSN | 1565-1339 Dergi Bilgileri (2017) | ||
| Dergi Tarandığı Indeksler | EBSCO | ||
| Makale Dili | İngilizce | Basım Tarihi | 07-2017 |
| Cilt / Sayı / Sayfa | 18 / 5 / 303–314 | DOI | 10.1515/ijnsns-2016-0024 |
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| An energy stable conservative method is developed for the Cahn–Hilliard (CH) equation with the degenerate mobility. The CH equation is discretized in space with the mass conserving symmetric interior penalty discontinuous Galerkin (SIPG) method. The resulting semi-discrete nonlinear system of ordinary differential equations are solved in time by the unconditionally energy stable average vector field (AVF) method. We prove that the AVF method preserves the energy decreasing property of the fully discretized CH equation. Numerical results for the quartic double-well and the logarithmic potential functions with constant and degenerate mobility confirm the theoretical convergence rates, accuracy and the performance of the proposed approach. |
| Anahtar Kelimeler |
| average vector field method | Cahn-Hilliard equation | discontinuous Galerkin method | gradient systems |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 6 |
| Scopus | 7 |
| Google Scholar | 9 |