Robust arbitrary order mixed finite element methods for the incompressible Stokes equations

  title={Robust arbitrary order mixed finite element methods for the incompressible Stokes equations},
  author={Alexander Linke and Gunar Matthies and Lutz Tobiska},
Standard mixed finite element methods for the incompressible Navier–Stokes equations that relax the divergence constraint are not robust against large irrotational forces in the momentum balance and the velocity error depends on the continuous pressure. This robustness issue can be completely cured by using divergence-free mixed finite elements which deliver pressure-independent velocity error estimates. However, the construction of H-conforming, divergence-free mixed finite element methods is… 

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