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The discontinuous Galerkin method with reduced integration scheme for the boundary terms in almost incompressible linear elasticity
Author(s) -
Bayat Hamid Reza,
Wulfinghoff Stephan,
Reese Stefanie,
Cavaliere Fabiola
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610083
Subject(s) - compressibility , galerkin method , mathematics , discontinuous galerkin method , finite element method , linear elasticity , mathematical analysis , scheme (mathematics) , boundary value problem , elasticity (physics) , work (physics) , boundary (topology) , mechanics , physics , thermodynamics
In this paper, the discontinuous Galerkin (dG) method is introduced and applied for a problem of nearly incompressible material behavior, where the standard finite element method, namely the conventional continuous Galerkin (cG) method faces the well‐known problem of volumetric locking. The highlight of the work lies in the reduced integration scheme for the boundary terms of the dG method. Two different reduced and mixed integration schemes are presented and applied to reduce the calculation time. The dG method converges much faster than standard cG method with respect to the number of the elements, provided that the penalty value is sufficiently large. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)