| Issue |
ESAIM: M2AN
Volume 42, Number 4, July-August 2008
|
|
|---|---|---|
| Page(s) | 593 - 607 | |
| DOI | https://doi.org/10.1051/m2an:2008018 | |
| Published online | 27 May 2008 | |
L2 stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods
1
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA. This email address is being protected from spambots. You need JavaScript enabled to view it.
2
Division of Applied Mathematics,
Brown University, Providence, RI 02912, USA. This email address is being protected from spambots. You need JavaScript enabled to view it.
.
3
Department of Mathematics,
Institute for Physical Science and Technology
and Center of Scientific Computation and Mathematical Modeling (CSCAMM),
University of Maryland, College Park, MD 20742, USA. This email address is being protected from spambots. You need JavaScript enabled to view it.
.
4
Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China. This email address is being protected from spambots. You need JavaScript enabled to view it.
.
Received:
17
April
2007
Abstract
We prove stability and derive error estimates for the recently introduced central discontinuous Galerkin method, in the context of linear hyperbolic equations with possibly discontinuous solutions. A comparison between the central discontinuous Galerkin method and the regular discontinuous Galerkin method in this context is also made. Numerical experiments are provided to validate the quantitative conclusions from the analysis.
Mathematics Subject Classification: 65M60
Key words: Central discontinuous Galerkin method / discontinuous Galerkin method / linear hyperbolic equation / stability / error estimate.
© EDP Sciences, SMAI, 2008
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