Continuous/discontinuous Galerkin methods applied to elasticity problems

A new family of coupled continuous–discontinuous Galerkin formulations is presented and analyzed in this paper. These formulations have some distinguishing properties: support to all boundary conditions, without differentiating whether the condition is Dirichlet or not; the continuous part of the fo...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2014-02, Vol.269, p.291-314
Main Authors: Dutra do Carmo, E.G., Araújo Fernandes, M.T.C., Mansur, Webe João
Format: Article
Language:English
Subjects:
Boundary conditions
Computer simulation
Continuous Galerkin
Continuous–discontinuous Galerkin
Dirichlet problem
Discontinuous Galerkin
Elastic problems
Galerkin methods
Mathematical models
Polynomials
Robustness
Stability
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Summary:A new family of coupled continuous–discontinuous Galerkin formulations is presented and analyzed in this paper. These formulations have some distinguishing properties: support to all boundary conditions, without differentiating whether the condition is Dirichlet or not; the continuous part of the formulations can use the discontinuous part to have better accuracy and robustness properties and the discontinuous part has the same stabilized properties of common discontinuous Galerkin methods. A new promising stability parameter is introduced and its effects analyzed in the numerical experiments. Some important results related to the stability of the formulations associated with the polynomial degree adopted for the continuous component are also shown.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2013.11.003