A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems

Dong Wook Shin, Youngmok Jeon, Eun Jae Park

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)292-303
Number of pages12
JournalApplied Numerical Mathematics
Volume95
DOIs
Publication statusPublished - 2015 May 26

Fingerprint

Advection-diffusion
Discontinuous Galerkin Method
Advection
Galerkin methods
Penalty
Norm
Poisson Problem
Convergence Order
Numerical Examples
Formulation
Energy

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

Cite this

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A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems. / Shin, Dong Wook; Jeon, Youngmok; Park, Eun Jae.

In: Applied Numerical Mathematics, Vol. 95, 26.05.2015, p. 292-303.

Research output: Contribution to journalArticle

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