• Corpus ID: 252531709

Finite element analysis for the Navier-Lam\'e eigenvalue problem

@inproceedings{Lepe2022FiniteEA,
  title={Finite element analysis for the Navier-Lam\'e eigenvalue problem},
  author={Felipe Lepe and Gonzalo Rivera and Jesus Vellojin},
  year={2022}
}
. The present paper introduces the analysis of the eigenvalue problem for the elasticity equations when the so called Navier-Lam´e system is considered. Such a system introduces the displacement, rotation and pressure of some linear and elastic structure. The analysis of the spectral problem is based in the compact operators theory. A finite element method based in polynomials of degree k ≥ 1 are considered in order to approximate the eigenfrequencies and eigenfunctions of the system… 

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