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

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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

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Graduate School of Applied Mathematics, Article

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Citation Formats

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.