On the discontinuous Galerkin method for Friedrichs systems in graph spaces

Jensen, Max

doi:10.1007/11666806_9

On the discontinuous Galerkin method for Friedrichs systems in graph spaces

Jensen, Max

Authors

Max Jensen

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
Electronic ISSN	1611-3349
Publisher	Springer
Peer Reviewed	Peer Reviewed
Volume	3743
Pages	94-101
DOI	https://doi.org/10.1007/11666806_9
Publisher URL	http://www.springerlink.com/content/dh72777888173r74/