A stabilized cut finite element method for the three field stokes problem

摘要: We propose a Nitsche-based fictitious domain method for the three field Stokes problem in which boundary of is allowed to cross through elements fixed background mesh. The dependent variables velocity, pressure, and extra-stress tensor are discretized on mesh using linear finite elements. This equal order approximation stabilized continuous interior penalty (CIP) method. On unfitted boundary, Dirichlet conditions weakly enforced Nitsche's add CIP-like ghost penalties region prove that our scheme inf-sup stable it has optimal convergence properties independent how intersects Additionally, we demonstrate condition number system matrix bounded independently location. corroborate theoretical findings numerically.