Fictitious domain methods using cut elements : III. A stabilized Nitsche method for Stokes’ problem

• We extend our results on fictitious domain methods for Poisson’s problem to the case of incompressible elasticity, or Stokes’ problem. The mesh is not fitted to the domain boundary. Instead boundary conditions are imposed using a stabilized Nitsche type approach. Control of the non-physical degrees of freedom, i.e., those outside the physical domain, is obtained thanks to a ghost penalty term for both velocities and pressures. Both inf–sup stable and stabilized velocity pressure pairs are considered.

Nyckelord

finite element methods

stabilized methods

penalty methods

Stokes’ problem

fictitious domain

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