# 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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