Accessible Requires Authentication Published by De Gruyter September 1, 2005

Partition of unity method on nonmatching grids for the Stokes problem

C. Bacuta, J. Chen, Y. Huang, J. Xu and L. Zikatanov
From the journal

We consider the Stokes problem on a plane polygonal domain 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.

Published Online: 2005-09-01
Published in Print: 2005-09-01

Copyright 2005, Walter de Gruyter