Two-level stabilized finite element method for Stokes eigenvalue problem

被引:0
|
作者
黄鹏展 [1 ]
何银年 [2 ,1 ]
冯新龙 [1 ]
机构
[1] College of Mathematics and System Sciences,Xinjiang University
[2] Center for Computational Geoscienes,School of Mathematics and Statistics,Xi'an Jiaotong University
基金
中国国家自然科学基金; 国家高技术研究发展计划(863计划);
关键词
Stokes eigenvalue problem; stabilized method; lowest equal-order pair; two-level method;
D O I
暂无
中图分类号
O241.82 [偏微分方程的数值解法];
学科分类号
070102 ;
摘要
A two-level stabilized finite element method for the Stokes eigenvalue problem based on the local Gauss integration is considered.This method involves solving a Stokes eigenvalue problem on a coarse mesh with mesh size H and a Stokes problem on a fine mesh with mesh size h = O(H 2),which can still maintain the asymptotically optimal accuracy.It provides an approximate solution with the convergence rate of the same order as the usual stabilized finite element solution,which involves solving a Stokes eigenvalue problem on a fine mesh with mesh size h.Hence,the two-level stabilized finite element method can save a large amount of computational time.Moreover,numerical tests confirm the theoretical results of the present method.
引用
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页码:621 / 630
页数:10
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