An Adaptive Finite Element Scheme for the Hellinger-Reissner Elasticity Mixed Eigenvalue Problem

Fleurianne Bertrand*, Daniele Boffi, Rui Ma

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
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Abstract

In this paper, we study the approximation of eigenvalues arising from the mixed Hellinger-Reissner elasticity problem by using a simple finite element introduced recently by one of the authors. We prove that the method converges when a residual type error estimator is considered and that the estimator decays optimally with respect to the number of degrees of freedom. A postprocessing technique originally proposed in a different context is discussed and tested numerically.

Original languageEnglish
Pages (from-to)501-512
Number of pages12
JournalComputational Methods in Applied Mathematics
Volume21
Issue number3
Early online date2 Feb 2021
DOIs
Publication statusPublished - 1 Jul 2021

Keywords

  • adaptive finite elements
  • eigenvalue problem
  • Hellinger-Reissner elasticity

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