The Mathematical Institute, University of Oxford, Eprints Archive

On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces

Jensen, Max (2005) On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces. Technical Report. Unspecified. (Submitted)

[img]
Preview
PDF
135Kb

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:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1146
Deposited By:Lotti Ekert
Deposited On:13 May 2011 08:19
Last Modified:13 May 2011 08:19

Repository Staff Only: item control page