A mass conserving mixed stress formulation for the Stokes equations

  title={A mass conserving mixed stress formulation for the Stokes equations},
  author={Jay Gopalakrishnan and Philip L. Lederer and Joachim Schoberl},
  journal={IMA Journal of Numerical Analysis},
We propose stress formulation of the Stokes equations. The velocity $u$ is approximated with $H(\operatorname{div})$-conforming finite elements providing exact mass conservation. While many standard methods use $H^1$-conforming spaces for the discrete velocity $H(\operatorname{div})$-conformity fits the considered variational formulation in this work. A new stress-like variable $\sigma $ equalling the gradient of the velocity is set within a new function space $H(\operatorname{curl… 

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