Abstract
We consider a finite element method for the penalty formulation of the time dependent Navier-Stokes equations. Usually the improper choice of the finite element space will lead that the error estimate (inversely) depends on the penalty parameter epsilon. We use the classical P-1 nonconforming finite element space for the spatial discretization. Optimal epsilon-uniform error estimations for both velocity and pressure are obtained.
Original language | English |
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Pages (from-to) | 261-287 |
Number of pages | 27 |
Journal | Numerische Mathematik |
Volume | 115 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2010 |
Keywords
- SEQUENTIAL REGULARIZATION METHOD
- APPROXIMATION
- FORMULATION
- DYNAMICS
- FLOWS