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 › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 671-707 |
| Journal / Publication | Numerische Mathematik |
| Volume | 122 |
| Issue number | 4 |
| Publication status | Published - 2012 |
| Externally published | Yes |
Link(s)
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 et al.
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 › peer-review
