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Applied Mathematics and Mechanics

, Volume 23, Issue 7, pp 773–782 | Cite as

Two-grid error estimates for the stream function form of Navier-Stokes equations

  • Ren Chun-feng
  • Ma Yi-chen
Article

Abstract

The two-grid finite element approximation to the stream function form of the stationary Navier-Stokes equations was analyzed. The algorithms involve solving one small, nonlinear coarse mesh system, one linear problem on the fine mesh system, and a linear correct problem on the coarse mesh. The algorithms with the correct problem and without the correct problem were discussed. The algorithms produce an approximate solution with the optimal, asymptotic accuracy for any fixed Reynolds number.

Key words

Navier-Stokes equation two-grid method stream function 

CLC numbers

O357.1 O241.85 

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References

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Ren Chun-feng
    • 1
  • Ma Yi-chen
    • 1
  1. 1.College of ScienceXi’an Jiaotong UniversityXi’anP R China

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