The Optimal L2 Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem

Joint Authors

Su, Jian
Dai, Wenqiang
He, Guoliang

Source

Advances in Numerical Analysis

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-11-11

Country of Publication

Egypt

No. of Pages

17

Main Subjects

Mathematics

Abstract EN

A finite volume method based on stabilized finite element for the two-dimensional stationary Navier-Stokes equations is analyzed.

For the P1–P0 element, we obtain the optimal L2 error estimates of the finite volume solution uh and ph.

We also provide some numerical examples to confirm the efficiency of the FVM.

Furthermore, the effect of initial value for iterative method is analyzed carefully.

American Psychological Association (APA)

He, Guoliang& Su, Jian& Dai, Wenqiang. 2012. The Optimal L2 Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-457546

Modern Language Association (MLA)

He, Guoliang…[et al.]. The Optimal L2 Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem. Advances in Numerical Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-457546

American Medical Association (AMA)

He, Guoliang& Su, Jian& Dai, Wenqiang. The Optimal L2 Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-457546

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-457546