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A continuous finite element method with face penalty to approximate Friedrichs' systems.
journal contribution
posted on 2023-06-08, 08:33 authored by Erik Burman, Alexandre ErnA continuous finite element method to approximate Friedrichs' systems is proposed and analyzed. Stability is achieved by penalizing the jumps across mesh interfaces of the normal derivative of some components of the discrete solution. The convergence analysis leads to optimal convergence rates in the graph norm and suboptimal of order convergence rates in the L2-norm. A variant of the method specialized to Friedrichs' systems associated with elliptic PDE's in mixed form and reducing the number of nonzero entries in the stiffness matrix is also proposed and analyzed. Finally, numerical results are presented to illustrate the theoretical analysis.
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Publication status
- Published
Journal
Modélisation mathématique et analyse numériqueISSN
0764-583XExternal DOI
Issue
1Volume
41Page range
55-76Pages
22.0Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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