Abstract
In this paper we discuss some aspects related to the practical implementation of a method that has been introduced recently for the approximation of the eigenvalues of the linear elasticity problem. The scheme, based on a least-squares finite element formulation, gives rise to a non-symmetric discrete formulation that may have complex eigenvalues. Moreover the algebraic eigenvalue problem to be solved is singular, so that the theoretical estimates about the convergence of the scheme should be carefully interpreted.
Original language | English (US) |
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Pages | 1-7 |
Number of pages | 7 |
DOIs | |
State | Published - 2021 |
Event | 14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 - Virtual, Online Duration: Jan 11 2021 → Jan 15 2021 |
Conference
Conference | 14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 |
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City | Virtual, Online |
Period | 01/11/21 → 01/15/21 |
Bibliographical note
Publisher Copyright:© 2021, Univelt Inc., All rights reserved.
Keywords
- Eigenvalue problems
- Least-squares finite elements
- Linear elasticity
- Mixed finite element method
ASJC Scopus subject areas
- Mechanical Engineering