Please use this identifier to cite or link to this item: https://doi.org/10.1007/s11401-009-0116-3
Title: Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions
Authors: Liu, J.-G.
Liu, J. 
Pego, R.L.
Keywords: Backward facing step
Driven cavity
Leray projection
Obtuse corner
Projection method
Recycling
Stokes pressure
Time-dependent incompressible flow
Issue Date: Dec-2009
Citation: Liu, J.-G., Liu, J., Pego, R.L. (2009-12). Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions. Chinese Annals of Mathematics. Series B 30 (6) : 743-768. ScholarBank@NUS Repository. https://doi.org/10.1007/s11401-009-0116-3
Abstract: The authors establish error estimates for recently developed finite-element methods for incompressible viscous flow in domains with no-slip boundary conditions. The methods arise by discretization of a well-posed extended Navier-Stokes dynamics for which pressure is determined from current velocity and force fields. The methods use C1 elements for velocity and C0 elements for pressure. A stability estimate is proved for a related finite-element projection method close to classical time-splitting methods of Orszag, Israeli, DeVille and Karniadakis. © Editorial Office of CAM and Springer-Verlag Berlin Heidelberg 2009.
Source Title: Chinese Annals of Mathematics. Series B
URI: http://scholarbank.nus.edu.sg/handle/10635/103206
ISSN: 02529599
DOI: 10.1007/s11401-009-0116-3
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