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Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems
journal contribution
posted on 2023-06-07, 20:46 authored by Erik Burman, Benjamin StammIn this paper we give an analysis of a bubble stabilized discontinuous Galerkin method for elliptic and parabolic problems. The method consists of stabilizing the numerical scheme by enriching the discontinuous affine finite element space elementwise by quadratic bubbles. This approach leads to optimal convergence in the space and time discretization parameters.
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Publication status
- Published
Journal
Numerische MathematikISSN
0029-599XPublisher
Springer VerlagExternal DOI
Issue
2Volume
116Page range
213-241Pages
28.0Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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