A locking free hp DPG method for linear elasticity with symmetric stresses
Numerical Analysis
2012-05-23 v2 Analysis of PDEs
Abstract
We present two new methods for linear elasticity with 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.
Keywords
Cite
@article{arxiv.1106.4211,
title = {A locking free hp DPG method for linear elasticity with symmetric stresses},
author = {Jamie Bramwell and Leszek Demkowicz and Jay Gopalakrishnan and Weifeng Qiu},
journal= {arXiv preprint arXiv:1106.4211},
year = {2012}
}
Comments
Numerische Mathematik, 2012