Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations

  • Bulent KarasözenEmail author
  • Murat Uzunca
  • Murat Manguoǧlu
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 103)


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.


Posteriori Error Discontinuous Galerkin Method Spurious Oscillation Sparse Linear System Nonlinear Convection 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Bulent Karasözen
    • 1
    Email author
  • Murat Uzunca
    • 2
  • Murat Manguoǧlu
    • 3
  1. 1.Department of Mathematics and Institute of Applied MathematicsMiddle East Technical UniversityAnkaraTurkey
  2. 2.Department of MathematicsMiddle East Technical UniversityAnkaraTurkey
  3. 3.Department of Computer Engineering, Institute of Applied MathematicsMiddle East Technical UniversityAnkaraTurkey

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