Displaying similar documents to “Discontinuous Galerkin and the Crouzeix–Raviart element : application to elasticity”

Discontinuous Galerkin and the Crouzeix–Raviart element: Application to elasticity

Peter Hansbo, Mats G. Larson (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We propose a discontinuous Galerkin method for linear elasticity, based on discontinuous piecewise linear approximation of the displacements. We show optimal order error estimates, uniform in the incompressible limit, and thus locking is avoided. The discontinuous Galerkin method is closely related to the non-conforming Crouzeix–Raviart (CR) element, which in fact is obtained when one of the stabilizing parameters tends to infinity. In the case of the elasticity operator, for...