A locking-free hp DPG method for linear elasticity with symmetric stresses

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Author(s)

  • Jamie Bramwell
  • Leszek Demkowicz
  • Jay Gopalakrishnan
  • Weifeng Qiu

Detail(s)

Original languageEnglish
Pages (from-to)671-707
Journal / PublicationNumerische Mathematik
Volume122
Issue number4
Publication statusPublished - 2012
Externally publishedYes

Abstract

We present two new methods for linear elasticity that simultaneously yield stress and displacement approximations of optimal accuracy in both the mesh size h and polynomial degree p. This is achieved within the recently developed discontinuous Petrov-Galerkin (DPG) framework. In this framework, both the stress and the displacement approximations are discontinuous across element interfaces. We study locking-free convergence properties and the interrelationships between the two DPG methods. © 2012 Springer-Verlag.

Citation Format(s)

A locking-free hp DPG method for linear elasticity with symmetric stresses. / Bramwell, Jamie; Demkowicz, Leszek; Gopalakrishnan, Jay; Qiu, Weifeng.

In: Numerische Mathematik, Vol. 122, No. 4, 2012, p. 671-707.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal