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

DOI10.1007/S10444-020-09775-1zbMath1439.65087OpenAlexW3007518284MaRDI QIDQ1987767

Mariam Arabyan

Publication date: 15 April 2020

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-020-09775-1

zbMATH Keywords

rate of convergencefinite element methodweighted spaceselastic shellnumerical approximation of eigenvalues and eigenfunctions

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

• Finite element methods. A practical guide
• On the existence of solutions of two optimization problems
• Finite element applications. A practical guide to the FEM process
• Some necessary and some sufficient conditions for the compactness of the embedding of weighted Sobolev spaces
• The Finite Element Method: Theory, Implementation, and Applications
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