A two-grid discretization scheme for a sort of Steklov eigenvalue problem

被引：0

作者：

Xia, Chao ^{[1
]}

Yang, Yidu ^{[1
]}

Bi, Hai ^{[1
]}

机构：

[1] Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China

来源：

ADVANCED MATERIALS AND PROCESSES II, PTS 1-3 | 2012年 / 557-559卷

关键词：

Steklov eigenvalue problem; Coupled fluid-solid vibrations; Finite element; Two-grid discretization scheme;

D O I：

10.4028/www.scientific.net/AMR.557-559.2087

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

On the basis of Yang and Bi's work (SIAM J Numer Anal 49, p.1602-1624), this paper discusses a discretization scheme for a sort of Steklov eigenvalue problem and proves the high effiency of the scheme. With the scheme, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a much coarser grid and the solution of a linear algebraic system on the fine grid. And the resulting solution can maintain an asymptotically optimal accuracy. Finally, the numerical results are provided to support the theoretical analysis.

引用

页码：2087 / 2091

页数：5

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