Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations
Received date: 15 May 2012
Accepted date: 03 Nov 2012
Published date: 01 Aug 2013
Copyright
The two-level penalty mixed finite element method for the stationary Navier-Stokes equations based on Taylor-Hood element is considered in this paper. Two algorithms are proposed and analyzed. Moreover, the optimal stability analysis and error estimate for these two algorithms are provided. Finally, the numerical tests confirm the theoretical results of the presented algorithms.
Pengzhan HUANG , Yinnian HE , Xinlong FENG . Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations[J]. Frontiers of Mathematics in China, 0 , 8(4) : 837 -854 . DOI: 10.1007/s11464-013-0257-2
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