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Numerical Solutions of Convection-Diffusion Equations by Hybrid Discontinuous Galerkin Methods

Y. ZHU, D. WAN

Abstract


A hybrid discontinuous Galerkin method (HDG) for numerical solutions of the steady and time-dependent convection-diffusion equations is presented in this paper. The HDG is proposed as a local discontinuous Galerkin method (LDG) hybridizable method. Numerical results show that the HDG methods can achieve accurate approximate results, and keep local conservation well for strong discontinuous problems

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