Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations

In this contribution, we review classical mixed methods for the incompressible Navier–Stokes equations that relax the divergence constraint and are discretely inf-sup stable. Though the relaxation of the divergence constraint was claimed to be harmless since the beginning of the 1970s, Poisson locki...

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Bibliographic Details
Published in:	Journal of computational methods in applied mathematics Vol. 18; no. 3; pp. 353 - 372
Main Authors:	Ahmed, Naveed, Linke, Alexander, Merdon, Christian
Format:	Journal Article
Language:	English
Published:	Minsk De Gruyter 01.07.2018 Walter de Gruyter GmbH
Subjects:	65M60 65N30 76D05 A Priori Error Estimates Approximation Computational fluid dynamics Divergence Finite element method Fluid flow Helmholtz Projector Incompressible Navier–Stokes Equations Locking Mathematical analysis Mixed Finite Element Methods Mixed methods research Navier-Stokes equations Numerical analysis Pressure Robustness Robustness (mathematics) Velocity errors
ISSN:	1609-4840, 1609-9389
Online Access:	Get full text
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