Bacuta, C., Chen, J., Huang, Y., Xu, J. and Zikatanov, L.. "Partition of unity method on nonmatching grids for the Stokes problem"
Journal of Numerical Mathematics, vol. 13, no. 3, 2005, pp. 157-169.
https://doi.org/10.1515/156939505774286148Bacuta, C., Chen, J., Huang, Y., Xu, J. & Zikatanov, L. (2005). Partition of unity method on nonmatching grids for the Stokes problem.
Journal of Numerical Mathematics,
13(3), 157-169.
https://doi.org/10.1515/156939505774286148Bacuta, C., Chen, J., Huang, Y., Xu, J. and Zikatanov, L. (2005) Partition of unity method on nonmatching grids for the Stokes problem. Journal of Numerical Mathematics, Vol. 13 (Issue 3), pp. 157-169.
https://doi.org/10.1515/156939505774286148Bacuta, C., Chen, J., Huang, Y., Xu, J. and Zikatanov, L.. "Partition of unity method on nonmatching grids for the Stokes problem"
Journal of Numerical Mathematics 13, no. 3 (2005): 157-169.
https://doi.org/10.1515/156939505774286148Bacuta C, Chen J, Huang Y, Xu J, Zikatanov L. Partition of unity method on nonmatching grids for the Stokes problem.
Journal of Numerical Mathematics. 2005;13(3): 157-169.
https://doi.org/10.1515/156939505774286148Copied to clipboard
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.