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A finite element time relaxation method
journal contribution
posted on 2023-06-07, 21:07 authored by Roland Becker, Erik Burman, Peter HansboWe discuss a finite element time-relaxation method for high Reynolds number flows. The method uses local projections on polynomials defined on macroelements of each pair of two elements sharing a face. We prove that this method shares the optimal stability and convergence properties of the continuous interior penalty (CIP) method. We give the formulation both for the scalar convection-diffusion equation and the time-dependent incompressible Euler equations and the associated convergence results. This note finishes with some numerical illustrations.
History
Publication status
- Published
Journal
Comptes Rendus MathématiqueISSN
1631073XExternal DOI
Issue
5-6Volume
349Page range
353-356Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes