Corpus ID: 211677516

Least-squares for linear elasticity eigenvalue problem

  title={Least-squares for linear elasticity eigenvalue problem},
  author={Fleurianne Bertrand and Daniele Boffi},
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. 

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