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Analysis of multiscale finite element method for the stationary Navier-Stokes equations
Authors:Zhihao Ge  Jingjing Yan
Affiliation:
  • a Institute of Applied Mathematics & School of Mathematics and Information Sciences, Henan University, Kaifeng 475004, PR China
  • b School of Education Science, Henan University, Kaifeng 475004, PR China
  • Abstract:In this work, a multiscale finite element method is proposed for the stationary incompressible Navier-Stokes equations. And the inf-sup stability of the method for the P1/P1 triangular element is established. The optimal error estimates are obtained.
    Keywords:Navier-Stokes equations   Multiscale finite element method   Error estimates
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