Published In
Numerische Mathematik
Document Type
Post-Print
Publication Date
2012
Subjects
Galerkin methods, Elasticity, Numerical analysis, Matrices
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.
Rights
Copyright © 2012, Springer-Verlag
DOI
10.1007/s00211-012-0476-6
Persistent Identifier
http://archives.pdx.edu/ds/psu/10603
Citation Details
Published as: Bramwell, J., Demkowicz, L., Gopalakrishnan, J. et al. A locking-free hp DPG method for linear elasticity with symmetric stresses. Numer. Math. 122, 671–707 (2012).
Description
NOTICE: this is the author’s version of a work that was accepted for publication in Numerische Mathematik. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Numerische Mathematik, 122, 671–707.