On the discontinuous Galerkin method for Friedrichs systems in graph spaces

Jensen, Max (2006) On the discontinuous Galerkin method for Friedrichs systems in graph spaces. In: Lirkov, Ivan, Margenov, Svetozar and Wasniewski, Jerzy (eds.) Large-scale scientific computing: 5th international conference, LSSC 2005, Sozopol, Bulgaria, June 6-10, 2005 : revised papers. Lecture notes in computer science (3743). Springer, Berlin, pp. 94-101. ISBN 9783540319948

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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.

Item Type: Book Section
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0297 Numerical analysis
Depositing User: Max Jensen
Date Deposited: 19 Jun 2013 10:16
Last Modified: 19 Jun 2013 10:16
URI: http://sro.sussex.ac.uk/id/eprint/45499
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