Continuous and discontinuous finite element methods for convection-diffusion problems

Cangiani, Andrea, Georgoulis, Emmanuil and Jensen, Max (2006) Continuous and discontinuous finite element methods for convection-diffusion problems. In: BAIL: International Conference on Boundary and Interior Layers, 24th - 28th July, 2006, Göttingen.

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Abstract

We compare numerically the performance of a new continuous-discontinuous finite element method (CDFEM) for linear convection-diffusion equations with three well-known upwind finite element formulations, namely with the streamline upwind Petrov-Galerkin finite element method, the residualfree bubble method and the discontinuous Galerkin finite element method. The defining feature of the CDFEM is that it uses discontinuous approximation spaces in the vicinity of layers while continuous FEM approximation are employed elsewhere.

Item Type: Conference or Workshop Item (Paper)
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: Q Science > QA Mathematics > QA0297 Numerical analysis
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Depositing User: Max Jensen
Date Deposited: 19 Jun 2013 10:48
Last Modified: 19 Jun 2013 10:48
URI: http://srodev.sussex.ac.uk/id/eprint/45501
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