IJPAM: Volume 84, No. 3 (2013)

THE L2 NORM ERROR ESTIMATE FOR THE DIV-CURL
LEAST-SQUARES METHOD FOR 3D-STOKES EQUATIONS

Shao-Qin Gao1, Jian-Qiang Feng2
1,2College of Mathematics and Computer Science
HeBei University
Baoding, 071002, P.R. CHINA


Abstract. This paper studies L2 norm error estimate for the div-curl least-squares finite element method for Stokes equations with homogenous velocity boundary condition. The analysis using a different way from that in [11] shows that, without the divergence of the vorticity, the L2 norm error bound of the velocity is O(h2/3) in the standard linear element method.

Received: June 17, 2012

AMS Subject Classification: 65N30

Key Words and Phrases: error estimate, Stokes equations, least-squares finite element method

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DOI: 10.12732/ijpam.v84i3.2 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 84
Issue: 3