Conforming Finite Element Method for the Stokes Problem on Overlapping Non-matching Grids

摘要

We consider the Stokes Problem on a plane polygonal domain Ω. We propose a conforming finite element method on overlapping non-matching grids for Stokes Problem based on the partition of unity method. The construction and the stability analysis of a global conforming finite element are given. Our results are valid for any spatial dimensions and multiple sub-domains.