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arXiv · 2201.03658

A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem

Felipe Lepe·Gonzalo Rivera·Jesús Vellojín
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Abstract

In this paper we analyze a posteriori error estimates for a mixed formulation of the linear elasticity eigenvalue problem. A posteriori estimators for the nearly and perfectly compressible elasticity spectral problems are proposed. With a post-process argument, we are able to prove reliability and efficiency for the proposed estimators. The numerical method is based in Raviart-Thomas elements to approximate the pseudostress and piecewise polynomials for the displacement. We illustrate our results with numerical tests.

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Felipe Lepe, Gonzalo Rivera, Jesús Vellojín. 2022-01-10. A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem. https://arxiv.org/abs/2201.03658

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