Error estimates for finite element approximations of  consistent splitting schemes for incompressible flows

Jie Shen; Xiaofeng Yang

doi:10.3934/dcdsb.2007.8.663

Article Contents

2007, Volume 8, Issue 3: 663-676. Doi: 10.3934/dcdsb.2007.8.663

This issue Previous Article Brain anatomical feature detection by solving partial differential equations on general manifolds Next Article Resonant oscillations of an inhomogeneous gas in a closed cylindrical tube

Error estimates for finite element approximations of consistent splitting schemes for incompressible flows

Jie Shen^1, and
Xiaofeng Yang^1,

1.
Department of Mathematics, Purdue University, West Lafayette, IN 47907

Received: June 30, 2006

Revised: February 28, 2007

Published: April 2007

Abstract Related Papers Cited by

Abstract

We study a finite element approximation for the consistent splitting scheme proposed in [11] for the time dependent Navier-Stokes equations. At each time step, we only need to solve a Poisson type equation for each component of the velocity and the pressure. We cast the finite element approximation in an abstract form using appropriately defined discrete differential operators, and derive optimal error estimates for both velocity and pressure under the inf-sup assumption.

Keywords:

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

Citation:

Article Metrics

HTML views() PDF downloads(66) Cited by(0)

Error estimates for finite element approximations of consistent splitting schemes for incompressible flows

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Error estimates for finite element approximations of consistent splitting schemes for incompressible flows

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content