Moving mesh discontinuous Galerkin methods for PDEs with traveling waves
Yazarlar (3)
Prof. Dr. Murat UZUNCA Middle East Technical University (Metu), Türkiye
B. Karasözen
Middle East Technical University (Metu), Türkiye
Middle East Technical University (Metu), Türkiye
T. Küçükseyhan
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 (2017) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2017 |
| Cilt / Sayı / Sayfa | 292 / 1 / 9–18 | DOI | 10.1016/j.amc.2016.07.034 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0096300316304726 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this paper, a moving mesh discontinuous Galerkin (dG) method is developed for nonlinear partial differential equations (PDEs) with traveling wave solutions. The moving mesh strategy for one dimensional PDEs is based on the rezoning approach which decouples the solution of the PDE from the moving mesh equation. We show that the dG moving mesh method is able to resolve sharp wave fronts and wave speeds accurately for the optimal, arc-length and curvature monitor functions. Numerical results reveal the efficiency of the proposed moving mesh dG method for solving Burgers’, Burgers’–Fisher and Schlögl (Nagumo) equations. |
| Anahtar Kelimeler |
| Discontinuous Galerkin | Moving mesh | Nonlinear PDEs | Traveling wave |
Science Direct
Moving mesh discontinuous Galerkin methods for PDEs with traveling waves
| Atıf Sayıları | |
| Web of Science | 10 |
| Scopus | 8 |
| Google Scholar | 14 |