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

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2014-09-04
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.
COMPUTERS & CHEMICAL ENGINEERING

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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.