Adaptive discontinuous Galerkin methods for non linear diffusion convection reaction equations
Yazarlar (3)
Prof. Dr. Murat UZUNCA Middle East Technical University (Metu), Türkiye
Bülent Karasözen
Orta Doğu Teknik Üniversitesi, Türkiye
Prof. Dr. Murat Manguoğlu Orta Doğu Teknik Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Computers and Chemical Engineering (Q1)
Dergi ISSN 0098-1354 Dergi Bilgileri (2014)
Dergi Tarandığı Indeksler SCI
Makale Dili İngilizce Basım Tarihi 09-2014
Kabul Tarihi Yayınlanma Tarihi 01-09-2014
Cilt / Sayı / Sayfa 68 / 1 / 24–37 DOI 10.1016/j.compchemeng.2014.05.002
Makale Linki http://linkinghub.elsevier.com/retrieve/pii/S009813541400132X
UAK Araştırma Alanları
Uygulamalı 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.
Anahtar Kelimeler
Adaptivity | Discontinuous Galerkin | Matrix reordering | Non-linear diffusion-convection reaction | Preconditioning