Mathematics – Numerical Analysis
Scientific paper
2011-06-21
Mathematics
Numerical Analysis
Scientific paper
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.
Bramwell Jamie
Demkowicz Leszek
Gopalakrishnan Jay
Qiu Weifeng
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