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From the Hu–Washizu formulation to the average nodal strain formulation

Authors
Journal
Computer Methods in Applied Mechanics and Engineering
0045-7825
Publisher
Elsevier
Publication Date
Volume
198
Identifiers
DOI: 10.1016/j.cma.2009.09.008
Keywords
  • Mixed Finite Elements
  • Average Nodal Strain
  • Nearly Incompressible Elasticity
  • Primal And Dual Meshes

Abstract

Abstract We present a stabilized finite element method for the Hu–Washizu formulation of linear elasticity based on simplicial meshes leading to the stabilized nodal strain formulation or node-based uniform strain elements. We show that the finite element approximation converges uniformly to the exact solution for the nearly incompressible case.

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