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Stability Analysis and Error Estimation of Variable Coefficient Convection-Diffusion Equation: Generalized Numerical Fluxes
Abstract In this paper, we study the discontinuous Galerkin (DG) method with generalized numerical fluxes for one-dimensional variable coefficient convection-diffusion equation. For the convection term, we choose the upwind numerical flux, and for the diffusion term, we choose a special type of generalized numerical fluxes, thus we first show that …