Time space adaptive discontinuous Galerkin method for advection diffusion equations with non linear reaction mechanism
Yazarlar (2)
Bülent Karasözen
Orta Doğu Teknik Üniversitesi, Türkiye
Orta Doğu Teknik Üniversitesi, Türkiye
Prof. Dr. Murat UZUNCA Middle East Technical University (Metu), Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Gem International Journal on Geomathematics | ||
| Dergi ISSN | 1869-2672 Dergi Bilgileri (2014) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 11-2014 |
| Cilt / Sayı / Sayfa | 5 / 2 / 255–288 | DOI | 10.1007/s13137-014-0067-z |
| Makale Linki | http://link.springer.com/10.1007/s13137-014-0067-z | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in Péclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear reaction mechanisms. We derive a posteriori error estimators in the -type norm using backward Euler in time and discontinuous Galerkin (symmetric interior penalty Galerkin) in space. Numerical results for advection dominated reactive transport problems in homogeneous and heterogeneous media demonstrate the performance of the time-space adaptive algorithm. |
| Anahtar Kelimeler |
| A posteriori error estimates | Discontinuous Galerkin | Elliptic reconstruction | Non-linear diffusion-convection reaction | Time-space adaptivity |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 2 |
| Scopus | 3 |
| Google Scholar | 5 |