The Optimal L2 Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem. (11th November 2012)

• Record Type: Journal Article
• Authors: He, Guoliang; Su, Jian; Dai, Wenqiang
• Other Names: Lazarov Raytcho Academic Editor.
• Is Part Of: Advances in numerical analysis. Volume 2012(2012)
• Publication Date: 2012-11-11
• Subjects: Numerical analysis -- Periodicals; Numerical analysis; Periodicals; Electronic journals; 518
• DOI: 10.1155/2012/251908
• Languages: English
• ISSNs: 1687-9562

Abstract

Abstract : A finite volume method based on stabilized finite element for the two-dimensional stationary Navier-Stokes equations is analyzed. For the P 1 – P 0 element, we obtain the optimal L 2 error estimates of the finite volume solution u h and p h . 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.