We consider the Stokes problem on a plane polygonal domain Ω ⊂ ℝ 2. 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. © VSP 2005.
|Original language||English (US)|
|Number of pages||13|
|Journal||Journal of Numerical Mathematics|
|State||Published - Nov 9 2005|
Bibliographical noteGenerated from Scopus record by KAUST IRTS on 2023-02-15
ASJC Scopus subject areas
- Computational Mathematics