Partition of Unity Method for Stokes Problem

Constantin Bacuta
328 McAllister Bldg., University Park
State College, PA 16802
Jinchao Xu

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.