Abstract
When mixed methods for the incompressible Navier–Stokes were introduced in the early 70ies, it was claimed that the divergence-constraint could be relaxed without danger. Recently, this claim has been challenged. Therefore, we review the numerical error analysis of mixed methods and show that divergence-free/pressure-robust mixed methods behave in a provably much more robust way.
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Ahmed, N., Linke, A., Merdon, C. (2017). Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects . FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-319-57397-7_28
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DOI: https://doi.org/10.1007/978-3-319-57397-7_28
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