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Article
A Locking-Free hp DPG Method for Linear Elasticity with Symmetric Stresses
Numerische Mathematik
  • Jamie Bramwell, University of Texas at Austin
  • Leszek Demkowicz, University of Texas at Austin
  • Jay Gopalakrishnan, Portland State University
  • Weifeng Qiu, University of Minnesota - Twin Cities
Document Type
Post-Print
Publication Date
1-1-2012
Subjects
  • Galerkin methods,
  • Elasticity,
  • Numerical analysis,
  • Matrices
Disciplines
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 ap- proximations are discontinuous across element interfaces. We study locking-free convergence properties and the interrelationships between the two DPG methods.

Description

This is the author’s version of a work that was accepted for publication in Numerische Mathematik. The final publication is available at: http://link.springer.com/

DOI
10.1007/s00211-012-0476-6
Persistent Identifier
http://archives.pdx.edu/ds/psu/10603
Citation Information
Jamie Bramwell, Leszek Demkowicz, Jay Gopalakrishnan and Weifeng Qiu. "A Locking-Free hp DPG Method for Linear Elasticity with Symmetric Stresses" Numerische Mathematik (2012)
Available at: http://works.bepress.com/jay-gopalakrishnan/57/