PARTITION OF UNITY FOR THE STOKES PROBLEM ON NONMATCHING GRIDS

Abstract. We consider the Stokes Problem on a plane polygonal domain Ω ⊂ R2. We propose a finite element method for overlapping or nonmatching grids for the Stokes Problem based on the partition of unity method. We prove that the discrete inf-sup condition holds with a constant independent of the overlapping size of the subdomains. The results are valid for multiple subdomains and any spatial dimension. 1