Partition of unity method on nonmatching grids for the Stokes problem

C. Bacuta; J. Chen; Y. Huang; J. Xu; L. Zikatanov

doi:10.1163/156939505774286148

Partition of unity method on nonmatching grids for the Stokes problem

C. Bacuta, J. Chen, Y. Huang, J. Xu, L. Zikatanov

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7 Scopus citations

Abstract

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)
Pages (from-to)	157-169
Number of pages	13
Journal	Journal of Numerical Mathematics
Volume	13
Issue number	3
DOIs	https://doi.org/10.1163/156939505774286148
State	Published - Nov 9 2005
Externally published	Yes

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Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

Computational Mathematics

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10.1163/156939505774286148

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abstract = "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. {\textcopyright} VSP 2005.",

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AU - Chen, J.

AU - Huang, Y.

AU - Xu, J.

AU - Zikatanov, L.

N1 - Generated from Scopus record by KAUST IRTS on 2023-02-15

PY - 2005/11/9

Y1 - 2005/11/9

N2 - 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.

AB - 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.

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DO - 10.1163/156939505774286148

M3 - Article

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JF - Journal of Numerical Mathematics

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ER -

Partition of unity method on nonmatching grids for the Stokes problem

Abstract

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