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Discontinuous hp-Finite Element Methods for Advection-Diffusion Problems
- Abstract:
-
We consider the hp-version of the discontinuous Galerkin finite element method for second-order partial differential equations with nonnegative characteristic form. This class of equations includes second--order elliptic and parabolic equations, first-order hyperbolic equations, as well as problems of mixed hyperbolic-elliptic-parabolic type. Our main concern is the error analysis of the method in the absence of streamline-diffusion stabilization. In the hyperbolic case, an hp-optimal error b...
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- Unspecified
- Publication date:
- 2000-06-01
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- UUID:
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uuid:2412241c-8b36-45d4-b12f-857da80fda56
- Local pid:
- oai:eprints.maths.ox.ac.uk:1266
- Deposit date:
- 2011-06-01
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- Copyright date:
- 2000
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