• Corpus ID: 244714493

Augmented finite element formulation for the Navier--Stokes equations with vorticity and variable viscosity

@inproceedings{Anaya2021AugmentedFE,
  title={Augmented finite element formulation for the Navier--Stokes equations with vorticity and variable viscosity},
  author={Ver{\'o}nica Anaya and Ruben Caraballo and Ricardo Ruiz-Baier and H{\'e}ctor Torres},
  year={2021}
}
We propose and analyse an augmented mixed finite element method for the Navier–Stokes equations written in terms of velocity, vorticity, and pressure with non-constant viscosity and no-slip boundary conditions. The weak formulation includes least-squares terms arising from the constitutive equation and from the incompressibility condition, and we use a fixed point strategies to show the existence and uniqueness of continuous and discrete solutions under the assumption of sufficiently small data… 

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Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity
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An augmented mixed finite element method for the Oseen equations written in terms of velocity, vorticity, and pressure with non-constant viscosity and homogeneous Dirichlet boundary condition for the velocity is proposed and analysed.
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This paper deals with the analysis of a new augmented mixed finite element method in terms of vorticity, velocity, and pressure, for the Brinkman problem with nonstandard boundary conditions. The
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