A Stabilized Hybrid Discontinuous Galerkin method for linear elasticity problem

Authors

  • Antônio dos Santos
  • Cristiane Faria
  • Abimael Loula

DOI:

https://doi.org/10.5540/03.2017.005.01.0319

Keywords:

Linear elasticity, Discontinuous Galerkin method, Stabilization Hybrid method, Locking free.

Abstract

In this work, a primal hybrid finite element method for nearly incompressible linear elasticity problem on triangular meshes is shown. This method consists of coupling local discontinuous Galerkin problems to the primal variable with a global problem for the Lagrange multiplier, which is identified as the trace of the displacement field. Also, a local post-processing technique is used to recover stress approximations with improved rates of convergence in H(div) norm. Numerical studies show that the method is locking free even using equal or different orders for displacement and stress fields and optimal convergence rates are obtained.

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Published

2017-04-14

Issue

Section

Trabalhos Completos - Métodos Numéricos e Aplicações