Adaptive discontinuous Galerkin finite elements for advective Allen-Cahn equation
Yazarlar (2)
Prof. Dr. Murat UZUNCA Sinop Üniversitesi, Türkiye
Ayşe Sarıaydın Filibelioğlu
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu, Türkiye
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | Numerical Algebra Control and Optimization | ||
| Dergi ISSN | 2155-3289 Dergi Bilgileri (2021) | ||
| Dergi Tarandığı Indeksler | ESCI: Emerging Sources Citation Index | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2021 |
| Cilt / Sayı / Sayfa | 11 / 2 / 269–281 | DOI | 10.3934/naco.2020025 |
| Makale Linki | http://dx.doi.org/10.3934/naco.2020025 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| We apply a space adaptive interior penalty discontinuous Galerkin method for solving advective Allen-Cahn equation with expanding and contracting velocity fields. The advective Allen-Cahn equation is first discretized in time and the resulting semi-linear elliptic PDE is solved by an adaptive algorithm using a residual-based a posteriori error estimator. The a posteriori error estimator contains additional terms due to the non-divergence-free velocity field. Numerical examples demonstrate the effectiveness and accuracy of the adaptive approach by resolving the sharp layers accurately. |
| Anahtar Kelimeler |
| Adaptivity | Advective Allen-Cahn equation | Discontinuous Galerkin method | Rothe’s method |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 4 |
| Scopus | 3 |
| Google Scholar | 7 |