On Nitsche's method for elastic contact problems
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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2020
Major/Subject
Mcode
Degree programme
Language
en
Pages
B425-B446
Series
SIAM Journal on Scientific Computing, Volume 42, issue 2
Abstract
We show quasi-optimality and a posteriori error estimates for the frictionless contact problem between two elastic bodies with a zero-gap function. The analysis is based on interpreting Nitsche's method as a stabilized finite element method for which the error estimates can be obtained with minimal regularity assumptions and without the saturation assumption. We present three different Nitsche's mortaring techniques for the contact boundary, each corresponding to a different stabilizing term. Our numerical experiments show the robustness of Nitsche's method and corroborate the efficiency of the a posteriori error estimators.Description
Keywords
Elastic contact, Nitsche's method, Variational inequality
Citation
Gustafsson , T , Stenberg , R & Videman , J 2020 , ' On Nitsche's method for elastic contact problems ' , SIAM Journal on Scientific Computing , vol. 42 , no. 2 , pp. B425-B446 . https://doi.org/10.1137/19M1246869
