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

2022/01/10 by Felipe Lepe, Lepe, Felipe, Gonzalo Rivera +3 · 2 citations
Decision Sciences · Engineering · #Probabilistic and Robust Engineering Design #Fatigue and fracture mechanics #Structural Health Monitoring Techniques

paper · pdf · doi:10.48550/arxiv.2201.03658

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.

Cited by

• The two-grid weak Galerkin method and enriched Crouzeix-Raviart element method for linear elastic eigenvalue problems
• The Weak Galerkin and Crouzeix-Raviart element method for elastic eigenvalue problems

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