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Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations

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Abstract

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.

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China

    Pengzhan Huang, Yinnian He & Xinlong Feng

  2. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, China

    Yinnian He

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  1. Pengzhan Huang
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  2. Yinnian He
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  3. Xinlong Feng
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Correspondence to Yinnian He.

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Huang, P., He, Y. & Feng, X. Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations. Front. Math. China 8, 837–854 (2013). https://doi.org/10.1007/s11464-013-0257-2

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  • DOI: https://doi.org/10.1007/s11464-013-0257-2

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