Rate of convergence estimates for the spectral approximation of a generalized eigenvalue problem

被引：4

作者：

Conca, C

Duran, M

Rappaz, J

机构：

[1] Univ Chile, Fac Ciencias Fis & Matemat, Dept Ingn Matemat, Santiago, Chile

[2] Pontificia Univ Catolica Chile, Fac Matemat, Santiago 22, Chile

[3] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France

[4] Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland

来源：

NUMERISCHE MATHEMATIK | 1998年 / 79卷 / 03期

关键词：

Mathematics Subject Classification (1991):65N30, 73K70;

D O I：

10.1007/s002110050343

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this work is to derive rate of convergence estimates for the spectral approximation of a mathematical model which describes the vibrations of a solid-fluid type structure. First, we summarize the main theoretical results and the discretization of this variational eigenvalue problem. Then, we state some well known abstract theorems on spectral approximation and apply them to our specific problem, which allow us to obtain the desired spectral convergence. By using classical regularity results, we are able to establish estimates for the rate of convergence of the approximated eigenvalues and for the gap between generalized eigenspaces.

引用

页码：349 / 369

页数：21

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