A locking free hp DPG method for linear elasticity with symmetric stresses

Autor: Bramwell, Jamie, Demkowicz, Leszek, Gopalakrishnan, Jay, Qiu, Weifeng
Rok vydání: 2011
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Numerische Mathematik, 2012
Databáze: arXiv