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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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.

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 - 2005

All Science Journal Classification (ASJC) codes

Computational Mathematics

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10.1163/156939505774286148

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title = "Partition of unity method on nonmatching grids for the Stokes problem",

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.",

author = "C. Bacuta and J. Chen and Y. Huang and J. Xu and L. Zikatanov",

year = "2005",

doi = "10.1163/156939505774286148",

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T1 - Partition of unity method on nonmatching grids for the Stokes problem

AU - Bacuta, C.

AU - Chen, J.

AU - Huang, Y.

AU - Xu, J.

AU - Zikatanov, L.

PY - 2005

Y1 - 2005

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.

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.

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U2 - 10.1163/156939505774286148

DO - 10.1163/156939505774286148

M3 - Article

AN - SCOPUS:27544496773

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VL - 13

SP - 157

EP - 169

JO - Journal of Numerical Mathematics

JF - Journal of Numerical Mathematics

IS - 3

ER -

Partition of unity method on nonmatching grids for the Stokes problem

Abstract

All Science Journal Classification (ASJC) codes

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