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Implementation of the continuous-discontinuous Galerkin finite element method
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posted on 2023-06-08, 15:16 authored by Andrea Cangiani, John Chapman, Emmanuil Georgoulis, Max JensenFor the stationary advection-diffusion problem the standard continuous Galerkin method is unstable without some additional control on the mesh or method. The interior penalty discontinuous Galerkin method is more stable but at the expense of an increased number of degrees of freedom. The hybrid method proposed in [5] combines the computational complexity of the continuous method with the stability of the discontinuous method without a significant increase in degrees of freedom. We discuss the implementation of this method using the finite element library deal.ii and present some numerical experiments.
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Publication status
- Published
Publisher
SpringerPage range
315-322Pages
859.0Book title
Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011Place of publication
BerlinISBN
9783642331336Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Editors
Ruslan Davidchack, Emmanuil Georgoulis, Michael Tretyakov, Jeremy Levesley, Andrea Cangiani, Alexander GorbanLegacy Posted Date
2013-06-19Usage metrics
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