Stability Analysis of Finite Element Method for Stokes Problem on Overlapping Non-Matching Grids
In this paper, the steady-state Stokes problem is discussed on a plane polygonal domain . We propose a finite element method on overlapping non-matching grids for the Stokes problem based on the partition of unity method. The construction and stability analysis of a global conforming finite element method are studied, and our results are valid for any spatial dimensions.
Shaobo Zhong, Yimin Cheng and Xilong Qu
K. Deng and Q. S. Wang, "Stability Analysis of Finite Element Method for Stokes Problem on Overlapping Non-Matching Grids", Applied Mechanics and Materials, Vols. 50-51, pp. 234-238, 2011