Least-squares formulations for eigenvalue problems associated with linear elasticity

Fleurianne Herveline Bertrand, Daniele Boffi

Research output: Contribution to journalArticlepeer-review

Abstract

We study the approximation of the spectrum of least-squares operators arising from linear elasticity. We consider a two-field (stress/displacement) and a three-field (stress/displacement/vorticity) formulation; other formulations might be analyzed with similar techniques. We prove a priori estimates and we confirm the theoretical results with simple two-dimensional numerical experiments.
Original languageEnglish (US)
JournalComputers and Mathematics with Applications
DOIs
StatePublished - Feb 15 2021

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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