On the discontinuous Galerkin method for Friedrichs systems in graph spaces

Jensen, Max

Abstract

Solutions of Friedrichs systems are in general not of Sobolev regularity and may possess discontinuities along the characteristics of the differential operator. We state a setting in which the well-posedness of Friedrichs systems on polyhedral domains is ensured, while still allowing changes in the inertial type of the boundary. In this framework the discontinuous Galerkin method converges in the energy norm under h- and p-refinement to the exact solution.

Citation

Jensen, M. (2006). On the discontinuous Galerkin method for Friedrichs systems in graph spaces. Lecture Notes in Computer Science, 3743, 94-101. https://doi.org/10.1007/11666806_9

• Journal Article Type: Article
• Publication Date: Feb 1, 2006
• Deposit Date: Jul 19, 2007
• Publicly Available Date: Jul 19, 2007
• Journal: Lecture Notes in Computer Science
• Print ISSN: 0302-9743
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 3743
• Pages: 94-101
• DOI: https://doi.org/10.1007/11666806_9
• Public URL: https://durham-repository.worktribe.com/output/1547639
• Publisher URL: http://www.springerlink.com/content/dh72777888173r74/