A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem
Numerical Analysis
2022-01-12 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2201.03658,
title = {A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem},
author = {Felipe Lepe and Gonzalo Rivera and Jesús Vellojín},
journal= {arXiv preprint arXiv:2201.03658},
year = {2022}
}