English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems

Cockburn, B., Dong, B., Guzman, J., Restelli, M., & Sacco, R. (2009). A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion-Reaction Problems. SIAM Journal on Scientific Computing, 31, 3827-3846. doi:10.1137/080728810.

Item is

Files

show Files
hide Files
:
restelli.pdf (Publisher version), 546KB
 
File Permalink:
-
Name:
restelli.pdf
Description:
Archivkopie
OA-Status:
Visibility:
Restricted (Max Planck Institute for Meteorology, MHMT; )
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
2009
Copyright Info:
© SIAM
License:
-

Locators

show

Creators

show
hide
 Creators:
Cockburn, B.1, Author
Dong, B.1, Author
Guzman, J.1, Author
Restelli, Marco2, Author           
Sacco, R.1, Author
Affiliations:
1external, ou_persistent22              
2The Ocean in the Earth System, MPI for Meteorology, Max Planck Society, Bundesstraße 53, 20146 Hamburg, DE, ou_913552              

Content

show
hide
Free keywords: -
 Abstract: In this article, we propose a novel discontinuous Galerkin method for convection-diffusion-reaction problems, characterized by three main properties. The first is that the method is hybridizable; this renders it efficiently implementable and competitive with the main existing methods for these problems. The second is that, when the method uses polynomial approximations of the same degree for both the total flux and the scalar variable, optimal convergence properties are obtained for both variables; this is in sharp contrast with all other discontinuous methods for this problem. The third is that the method exhibits superconvergence properties of the approximation to the scalar variable; this allows us to postprocess the approximation in an element-by-element fashion to obtain another approximation to the scalar variable which converges faster than the original one. In this paper, we focus on the efficient implementation of the method and on the validation of its computational performance. With this aim, extensive numerical tests are devoted to explore the convergence properties of the novel scheme, to compare it with other methods in the diffusion-dominated regime, and to display its stability and accuracy in the convection-dominated case.

Details

show
hide
Language(s): eng - English
 Dates: 2009
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1137/080728810
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: SIAM Journal on Scientific Computing
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Philadelphia, PA : SIAM
Pages: - Volume / Issue: 31 Sequence Number: - Start / End Page: 3827 - 3846 Identifier: ISSN: 1064-8275
CoNE: https://pure.mpg.de/cone/journals/resource/954928546248