Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations
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.
KeywordsPosteriori Error Discontinuous Galerkin Method Spurious Oscillation Sparse Linear System Nonlinear Convection
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