On the rate of convergence for approximation of an eigenvalue problem describing vibrations of axisymmetric revolution elastic shells

被引：1

作者：

Arabyan, Mariam ^{[1
]}

机构：

[1] Yerevan State Univ, 1 Alex Manoogian, Yerevan, Armenia

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2020年 / 46卷 / 02期

关键词：

Numerical approximation of eigenvalues and eigenfunctions; Rate of convergence; Weighted spaces;

D O I：

10.1007/s10444-020-09775-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide the rate of convergence for approximation of an eigenvalue problem describing vibrations of axisymmetric revolution elastic shells. The eigenvalue problem approximation is constructed by the method of finite elements. We study a system of differential equations with variable coefficients, some of which are non-integrable improperly near 0. To this aim, certain special weighted spaces are used, which were introduced earlier by the author.

引用

页数：13

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