A three-dimensional nodal-based implementation of a family of discontinuous Galerkin methods for elasticity problems

Authors:
R. Liu;M. F. Wheeler;C. N. Dawson
Affiliations:
Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA;Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA;Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA
Venue:
Computers and Structures
Year:
2009

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Abstract

Four discontinuous Galerkin (DG) methods are proposed to enrich the resource of modeling elasticity problems as they are volume locking-free and allow hanging nodes in meshing. A detailed finite element formulation of these DG methods is presented. For implementation, we coded a three-dimensional nodal-based DG program in which the conventional nodal-based pure displacement finite element codes are fully exploited. The robustness and accuracy of each DG method are demonstrated and compared with mixed methods through solving a rubber beam problem. The coupled use of DG with continuous elements is proposed for some practical applications.