On the rate of convergence for approximation of an eigenvalue problem describing vibrations of axisymmetric revolution elastic shells (Q1987767)
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scientific article; zbMATH DE number 7189711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rate of convergence for approximation of an eigenvalue problem describing vibrations of axisymmetric revolution elastic shells |
scientific article; zbMATH DE number 7189711 |
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On the rate of convergence for approximation of an eigenvalue problem describing vibrations of axisymmetric revolution elastic shells (English)
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15 April 2020
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A shell vibration problem is considered. The eigenvalue problem approximation is constructed by using the method of finite elements. The rate of convergence for the approximation of an eigenvalue problem describing vibrations of axisymmetric revolution elastic shells is provided. The second-order convergence is investigated for the eigenvalues and the first components of the eigenfunctions. The existence and uniqueness of solutions of the boundary-value problem and the existence of solutions of eigenvalue problem are proved by using the some special weighted spaces.
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elastic shell
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numerical approximation of eigenvalues and eigenfunctions
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rate of convergence
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weighted spaces
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finite element method
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