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|Title:||Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions|
|Keywords:||Backward facing step|
Time-dependent incompressible flow
|Source:||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|
|Appears in Collections:||Staff Publications|
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