Abstract
Least-squares mixed finite element schemes are formulated to solve the evolutionary Navier-Stokes equations and the convergence is analyzed. We recast the Navier-Stokes equations as a first-order system by introducing a vorticity flux variable, and show that a least-squares principle based on L2 norms applied to this system yields optimal discretization error estimates.
Original language | English |
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Pages (from-to) | 441-453 |
Number of pages | 13 |
Journal | Numerical Methods for Partial Differential Equations |
Volume | 18 |
Issue number | 4 |
DOIs | |
Publication status | Published - Jul 2002 |
Scopus Subject Areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics
User-Defined Keywords
- Evolutionary
- Least-squares mixed finite element
- Navier-Stokes equations