COMPUTERS & CHEMICAL ENGINEERING, vol.68, pp.24-37, 2014 (SCI-Expanded)
Article / Article
COMPUTERS & CHEMICAL ENGINEERING
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Non-linear diffusion-convection reaction, Discontinuous Galerkin, Adaptivity, Matrix reordering, Preconditioning, FINITE-ELEMENT METHODS, PRECONDITIONERS, APPROXIMATION, NONSTATIONARY, ALGORITHM
Middle East Technical University Affiliated:
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.