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New a Posteriori Error Estimator for an Augmented Mixed FEM in Linear Elasticity

  • Tomás P. Barrios
  • Edwin M. Behrens
  • María González
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 103)

Abstract

We consider an augmented mixed finite element method applied to the linear elasticity problem with non-homogeneous Dirichlet boundary conditions and derive an a posteriori error estimator that is simpler and easier to implement than the one available in the literature. The new a posteriori error estimator is reliable and locally efficient in interior triangles; in the remaining elements, it satisfies a quasi-efficiency bound. We provide some numerical results that illustrate the performance of the corresponding adaptive algorithm.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Tomás P. Barrios
    • 1
  • Edwin M. Behrens
    • 1
  • María González
    • 2
    • 3
  1. 1.Universidad Católica de la Santísima ConcepciónConcepciónChile
  2. 2.Universidade da CoruñaA CoruñaSpain
  3. 3.BCAMBilbaoSpain

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