Computation of eigenvalues in linear elasticity with least-squares finite elements: dealing with the mixed system

Linda Alzaben, Fleurianne Bertrand, Daniele Boffi

Research output: Contribution to conferencePaperpeer-review

2 Scopus citations

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 languageEnglish (US)
Pages1-7
Number of pages7
DOIs
StatePublished - 2021
Event14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 - Virtual, Online
Duration: Jan 11 2021Jan 15 2021

Conference

Conference14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020
CityVirtual, Online
Period01/11/2101/15/21

Keywords

  • Eigenvalue problems
  • Least-squares finite elements
  • Linear elasticity
  • Mixed finite element method

ASJC Scopus subject areas

  • Mechanical Engineering

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