Stokes问题非匹配网格的单位划分方法

J. Num. Math. Pub Date : 2005-09-01 DOI:10.1515/156939505774286148

C. Bacuta, Jinru Chen, Yunqing Huang, Jinchao Xu, L. Zikatanov

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引用次数: 10

摘要

考虑平面多边形域上的Stokes问题，提出了基于单位划分法的重叠网格或不匹配网格的有限元求解方法。证明了子域的重叠大小与一个常数无关，该条件成立。结果适用于多个子域和任何空间维度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Partition of unity method on nonmatching grids for the Stokes problem

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.

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J. Num. Math.

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