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

By Peter Hansbo, Mats G. Larson. 2003

176 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d63d1958eaa0b326a10c867958ea30352f9096d4

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Citations in the corpus

Stabilized Crouzeix‐Raviart element for the Darcy‐Stokes problem (2005, unknown): “Stabilization sufficient for fulfilling the Korn’s inequality was introduced by Hansbo and Larson [2]; in this article we also show that a similar stabilization for a mixed finite element”
A discontinuous Galerkin formulation for classical and gradient plasticity. Part 2: Algorithms and numerical analysis (2007, unknown): “[31–33]).”
Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book (2012, unknown): “Other applications of the Crouzeix–Raviart element includes linear elasticity (Hansbo and Larson, 2003) and Reissner–Mindlin plates (Arnold and Falk, 1989).”
A nonconforming element for the Reissner–Mindlin plate (2003, background): “This is surely the case, for instance, of the extension of the Crouzeix-Raviart element for Stokes problem or nearly incompressible elasticity problems (see [23]), or the higher order Arnold-Falk elements for ReissnerMindlin plates (see [6]).”
A Hybrid High-Order method for the incompressible Navier-Stokes equations based on Temam's device (2018, unknown): “In this context, we can mention the lowest-order method of Beirão da Veiga, Gyrya, Lipnikov, and Manzini [4] and the work of Di Pietro and Lemaire [12], which introduces a generalization of the lowest-order Crouzeix Raviart space and, correspondingly, of the methods of [6, 16].”
Discontinuous Galerkin methods for non‐linear elasticity (2006, background): “A similar result has been shown in Reference [22].”