The Mathematical Institute, University of Oxford, Eprints Archive

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

Lasis, Andris and Suli, Endre (2003) hp-Version discontinuous Galerkin finite element methods for semilinear parabolic problems. Technical Report. Unspecified. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1197
Deposited By:Lotti Ekert
Deposited On:18 May 2011 08:12
Last Modified:18 May 2011 08:12

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