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hp-Version discontinuous Galerkin finite element methods for semilinear parabolic problems

Abstract:
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) for semilinear parabolic equations with mixed Dirichlet and Neumann boundary conditions. Our main concern is the error analysis of the hp--DGFEM on shape--regular spatial meshes. We derive error bounds under various hypotheses on the regularity of the solution, for both the symmetric and non--symmetric versions of DGFEM.

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Unspecified
Publication date:
2003-10-01
UUID:
uuid:3ee89bc0-47c0-4786-92a8-51725dc2ec98
Local pid:
oai:eprints.maths.ox.ac.uk:1197
Deposit date:
2011-05-20

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