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.

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/

DOI

10.1007/s00211-012-0476-6

Persistent Identifier

http://archives.pdx.edu/ds/psu/10603

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