A hybrid discontinuous Galerkin (HDG) method for the Poisson problem introduced by Jeon and Park can be viewed as a hybridizable discontinuous Galerkin method using a Baumann-Oden type local solver. In this work, an upwind HDG method with super-penalty is proposed to solve advection-diffusion-reaction problems. A super-penalty formulation facilitates an optimal order convergence in the L2 norm as well as the energy norm. Several numerical examples are presented to show the performance of the method.
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© 2014 IMACS. Published by Elsevier B.V. Allrightsreserved.
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics