Displacement‐pseudostress formulation for the linear elasticity spectral problem

In this paper we analyze a mixed displacement-pseudostress formulation for the elasticity eigenvalue problem. We propose finite element method to approximate pseudostress tensor with Raviart–Thomas elements and displacement piecewise polynomials. With aid of classic theory compact operators, prove that our is convergent does not introduce spurious modes. Error estimates proposed are derived. Finally, report some numerical tests supporting theoretical results.