Adaptive discontinuous galerkin methods for nonlinear diffusion-convection-reaction equations
Yazarlar (3)
Bulent Karasözen
Middle East Technical University (Metu), Türkiye
Prof. Dr. Murat UZUNCA Middle East Technical University (Metu), Türkiye
Murat Manguoǧlu
Middle East Technical University (Metu), Türkiye
Makale Türü Açık Erişim Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Lecture Notes in Computational Science and Engineering
Dergi ISSN 1439-7358 Dergi Bilgileri (2015)
Makale Dili İngilizce Basım Tarihi 01-2015
Cilt / Sayı / Sayfa 103 / 1 / 85–93 DOI 10.1007/978-3-319-10705-9__8
Makale Linki https://link.springer.com/chapter/10.1007/978-3-319-10705-9_8
UAK Araştırma Alanları
Fen Bilimleri ve Matematik
Özet
In this work, we apply the adaptive discontinuous Galerkin method (DGAFEM) to the convection dominated nonlinear, quasi-steady state convection diffusion reaction equations. We propose an efficient algorithm to solve the sparse linear systems iteratively arising from the discretized nonlinear equations. Numerical examples demonstrate the effectiveness of the DGAFEM to damp the spurious oscillations for the convection dominated nonlinear equations.
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