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A Two-Grid Discretization Scheme for a Sort of Steklov Eigenvalue Problem

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Abstract:

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..

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Periodical:

Advanced Materials Research (Volumes 557-559)

Pages:

2087-2091

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.557-559.2087

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Cite this paper

Online since:

July 2012

Authors:

Chao Xia, Yi Du Yang, Hai Bi

Keywords:

Coupled Fluid-Solid Vibrations, Finite Element, Steklov Eigenvalue Problem, Two-Grid Discretization Scheme

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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