On the number of reliable finite-element eigenmodes

被引：1

作者：

Givoli, Dan ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Aerosp Engn, IL-32000 Haifa, Israel

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2008年 / 24卷 / 12期

关键词：

modes; eigenvalues; vibration; a priori error estimates; finite-element; large eigenvalues; high frequencies;

D O I：

10.1002/cnm.1088

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The finite-element (FE) approximation of linear elliptic eigenvalue problems is considered. An analysis based oil a number of known estimates leads to the simple formula M=r(0)epsilon(d/(2p)) N relating the total number of degrees of freedom N, the maximum relative error level epsilon desired for the eigenvalues, and the number of 'reliable' modes M. (Here d is the spatial dimension and p is the polynomial degree of the FE space.) Moreover, a rough estimate for the numerical value of the constant r(0) for a given application is found. This result Supports a well-known rule of thumb. Copyright (C) 2008 John Wiley & Sons, Ltd.

引用

页码：1967 / 1977

页数：11

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