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.
DOI
10.1007/s00211-012-0476-6
Persistent Identifier
http://archives.pdx.edu/ds/psu/10603
Citation Details
Bramwell, Jamie; Demkowicz, Leszek; Gopalakrishnan, Jay; and Qiu, Weifeng, "A Locking-Free hp DPG Method for Linear Elasticity with Symmetric Stresses" (2012). Mathematics and Statistics Faculty Publications and Presentations. 35.
https://pdxscholar.library.pdx.edu/mth_fac/35
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/