NDLI: Time-Integration Schemes for the Finite Element Dynamic Signorini Problem

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Ern, Alexandre Doyen, David Piperno, Serge
Copyright Year	2011
Abstract	A large variety of discretizations have been proposed in the literature for the numerical solution of the dynamic Signorini problem. We classify the different discretizations into four groups. The first three groups correspond to different ways of enforcing the contact condition: exact enforcement, enforcement with penalty, and enforcement with contact condition in velocity. The fourth approach is based on a modification of the mass matrix. Numerical simulations on two one-dimensional benchmark problems with analytical solutions illustrate the properties of representative methods within each class, focusing first on spurious oscillations triggered by contact and then on energy behavior after multiple impacts. Selected schemes are also tested on a two-dimensional benchmark.
Starting Page	223
Ending Page	249
Page Count	27
File Format	PDF
ISSN	10648275
DOI	10.1137/100791440
e-ISSN	10957197
Issue Number	1
Volume Number	33
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2011-02-03
Access Restriction	Subscribed
Subject Keyword	elastodynamics time-integration schemes frictionless unilateral contact Method of lines Numerical approximation of solutions Finite element methods Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods finite elements modified mass method Contact
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Mathematics

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