A two-grid discretization scheme for the Steklov eigenvalue problem

被引：31

作者：

Li Q. ^{[1
]}

Yang Y. ^{[1
]}

机构：

[1] School of Mathematics and Computer Science, Guizhou Normal University

来源：

Journal of Applied Mathematics and Computing | 2011年 / 36卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Error estimates; Finite element; Steklov eigenvalue problem; Two-grid;

D O I：

10.1007/s12190-010-0392-9

中图分类号：

学科分类号：

摘要：

In the paper, a two-grid discretization scheme is discussed for the Steklov eigenvalue problem. With the scheme, the solution of the Steklov eigenvalue problem on a fine grid is reduced to the solution of the Steklov eigenvalue problem on a much coarser grid and the solution of a linear algebraic system on the fine grid. Using spectral approximation theory, it is shown theoretically that the two-scale scheme is efficient and the approximate solution obtained by the scheme maintains the asymptotically optimal accuracy. Finally, numerical experiments are carried out to confirm the considered theory. © 2010 Korean Society for Computational and Applied Mathematics.

引用

页码：129 / 139

页数：10

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