Numerical Analysis Group Research
Report NA-05/07
On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces
Max Jensen
May 2005, 9 pages
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 intertial
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.
Subject classifications AMS(MOS): 65N12, 65N30, 65J10
Key words and phrases: Friedrichs systems, DGFEM, graph spaces
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