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.
|Number of pages||12|
|Journal||Applied Numerical Mathematics|
|Publication status||Published - 2015 May 26|
Bibliographical notePublisher Copyright:
© 2014 IMACS. Published by Elsevier B.V. Allrightsreserved.
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics