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Adaptive discontinuous Galerkin methods for non-linear diffusion-convection-reaction equations
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Date
2014-09-04
Author
UZUNCA, Murat
Karasözen, Bülent
Manguoğlu, Murat
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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.
Subject Keywords
Non-linear diffusion-convection reaction
,
Discontinuous Galerkin
,
Adaptivity
,
Matrix reordering
,
Preconditioning
URI
https://hdl.handle.net/11511/29859
Journal
COMPUTERS & CHEMICAL ENGINEERING
DOI
https://doi.org/10.1016/j.compchemeng.2014.05.002
Collections
Graduate School of Applied Mathematics, Article
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BibTeX
M. UZUNCA, B. Karasözen, and M. Manguoğlu, “Adaptive discontinuous Galerkin methods for non-linear diffusion-convection-reaction equations,”
COMPUTERS & CHEMICAL ENGINEERING
, pp. 24–37, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/29859.