A New Adaptive Mixed Finite Element Method Based on Residual Type A Posterior Error Estimates for the Stokes Eigenvalue Problem

被引：15
|
作者：
Han, Jiayu [1 ]
Zhang, Zhimin [2 ]
Yang, Yidu [1 ]
机构：
[1] Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China
[2] Beijing Computat Sci Res Ctr, Lab Appl Math, Beijing 100084, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 31卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Stokes eigenvalue problem; mixed finite element; Rayleigh quotient iteration; a posterior error estimates; adaptive algorithm; DISCRETIZATIONS;
D O I：
10.1002/num.21891
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we combine mixed finite element method, multiscale discretization, and Rayleigh quotient iteration to propose a new adaptive algorithm based on residual type a posterior error estimates for the Stokes eigenvalue problem. Both reliability and efficiency of the error indicator are proved. The efficiency of the algorithm is also investigated using Chen's Innovation Finite Element Method (iFEM) package. Numerical results are satisfying.(c) 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 31-53, 2015
引用
收藏
页码：31 / 53
页数：23
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