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Least-squares for linear elasticity eigenvalue problem

Numerical Analysis 2020-11-02 v2 Numerical Analysis

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.

Cite

@article{arxiv.2003.00449,
  title  = {Least-squares for linear elasticity eigenvalue problem},
  author = {Fleurianne Bertrand and Daniele Boffi},
  journal= {arXiv preprint arXiv:2003.00449},
  year   = {2020}
}

Comments

Minor changes after referee reports