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On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces

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.

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Max Jensen More by this author
Publication date:
2005-05-05
URN:
uuid:24a0e26e-c859-4815-8d20-a0ac79c99ab3
Local pid:
oai:eprints.maths.ox.ac.uk:1146

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