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

Publication ,  Journal Article
Liu, JG; Liu, J; Pego, RL
Published in: Chinese Annals of Mathematics. Series B
December 1, 2009

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.

Duke Scholars

Published In

Chinese Annals of Mathematics. Series B

DOI

EISSN

1860-6261

ISSN

0252-9599

Publication Date

December 1, 2009

Volume

30

Issue

6

Start / End Page

743 / 768

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics
 

Citation

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Liu, J. G., Liu, J., & Pego, R. L. (2009). Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions. Chinese Annals of Mathematics. Series B, 30(6), 743–768. https://doi.org/10.1007/s11401-009-0116-3
Liu, J. G., J. Liu, and R. L. Pego. “Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions.” Chinese Annals of Mathematics. Series B 30, no. 6 (December 1, 2009): 743–68. https://doi.org/10.1007/s11401-009-0116-3.
Liu JG, Liu J, Pego RL. Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions. Chinese Annals of Mathematics Series B. 2009 Dec 1;30(6):743–68.
Liu, J. G., et al. “Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions.” Chinese Annals of Mathematics. Series B, vol. 30, no. 6, Dec. 2009, pp. 743–68. Scopus, doi:10.1007/s11401-009-0116-3.
Liu JG, Liu J, Pego RL. Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions. Chinese Annals of Mathematics Series B. 2009 Dec 1;30(6):743–768.
Journal cover image

Published In

Chinese Annals of Mathematics. Series B

DOI

EISSN

1860-6261

ISSN

0252-9599

Publication Date

December 1, 2009

Volume

30

Issue

6

Start / End Page

743 / 768

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 0101 Pure Mathematics