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Discontinuous Galerkin finite element methods for incompressible non-linear elasticity

Abstract:

A discontinuous Galerkin finite element method (DGFEM) for incompressible, non-linear elasticity is derived. One of the limitations of the continuous Galerkin finite element method (CGFEM) when applied to incompressible elasticity is that the accuracy of the numerical solution may be adversely affected by the phenomenon known as locking-this may prevent the use of a low order polynomial approximation to the displacement on each element. We demonstrate using simulations that the DGFEM presente...

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Publication status:
Published

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Publisher copy:
10.1016/j.cma.2009.07.002

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Institution:
University of Oxford
Department:
Oxford, MPLS, Computer Science
Journal:
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume:
198
Issue:
41-44
Pages:
3464-3478
Publication date:
2009
DOI:
ISSN:
0045-7825
URN:
uuid:9ce2bde8-25c7-47ba-afeb-dc84a8c7ba11
Source identifiers:
296003
Local pid:
pubs:296003

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