Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions


Journal Article

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.

Full Text

Duke Authors

Cited Authors

  • Liu, JG; Liu, J; Pego, RL

Published Date

  • December 1, 2009

Published In

Volume / Issue

  • 30 / 6

Start / End Page

  • 743 - 768

Electronic International Standard Serial Number (EISSN)

  • 1860-6261

International Standard Serial Number (ISSN)

  • 0252-9599

Digital Object Identifier (DOI)

  • 10.1007/s11401-009-0116-3

Citation Source

  • Scopus