Adaptive discontinuous Galerkin methods for non-linear diffusion-convection-reaction equations

Creative Commons License

UZUNCA M., KARASÖZEN B., Manguoglu M.

COMPUTERS & CHEMICAL ENGINEERING, cilt.68, ss.24-37, 2014 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.compchemeng.2014.05.002
  • Dergi Adı: COMPUTERS & CHEMICAL ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.24-37
  • Anahtar Kelimeler: Non-linear diffusion-convection reaction, Discontinuous Galerkin, Adaptivity, Matrix reordering, Preconditioning, FINITE-ELEMENT METHODS, PRECONDITIONERS, APPROXIMATION, NONSTATIONARY, ALGORITHM
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this work, we apply the adaptive discontinuous Galerkin (DGAFEM) method to the convection dominated non-linear, quasi-stationary diffusion convection reaction equations. We propose an efficient preconditioner using a matrix reordering scheme to solve the sparse linear systems iteratively arising from the discretized non-linear equations. Numerical examples demonstrate effectiveness of the DGAFEM to damp the spurious oscillations and resolve well the sharp layers occurring in convection dominated non-linear equations. (C) 2014 Elsevier Ltd. All rights reserved.