Title
Towards Pressure-Robust Mixed Methods for the Incompressible Navier-Stokes Equations.
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 divergencefree/pressure-robust mixed methods behave in a provably much more robust way.
Year
DOI
Venue
2018
10.1007/978-3-319-57397-7_28
Springer Proceedings in Mathematics & Statistics
Keywords
Field
DocType
Incompressible Navier-Stokes equations,Mixed finite element methods,Pressure-robustness,Error estimates
Compressibility,Reynolds-averaged Navier–Stokes equations,Hagen–Poiseuille flow from the Navier–Stokes equations,Mathematical analysis,Non-dimensionalization and scaling of the Navier–Stokes equations,Euler equations,Pressure-correction method,Navier–Stokes equations,Physics
Journal
Volume
Issue
ISSN
199
3
2194-1009
Citations 
PageRank 
References 
1
0.36
10
Authors
3
Name
Order
Citations
PageRank
Naveed Ahmed117525.40
Alexander Linke29212.29
Christian Merdon3627.33