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A primal discontinuous Petrov‐Galerkin Finite Element Method for linear elasticity
Author(s) -
Steiner Tobias,
Wriggers Peter
Publication year - 2017
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201710025
Subject(s) - finite element method , petrov–galerkin method , linear elasticity , elasticity (physics) , discontinuous galerkin method , mathematics , compressibility , mixed finite element method , mathematical analysis , mathematical optimization , structural engineering , mechanics , physics , engineering , thermodynamics
Abstract Volume‐locking is a significant problem when using the standard Finite Element Method (FEM) since this phenomenon can lead to failure of a numerical method. To circumvent constraints as related in (nearly) incompressible materials the novel discontinuous Petrov‐Galerkin (dPG) FEM is introduced for linear elasticity. A first result of the implemented primal dPG FEM is shown for a patch test. Further tests on the performance of the proposed method are work in progress and are not part of this contribution. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)