On Nitsche's method for elastic contact problems
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2020
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Language
en
Pages
22
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SIAM Journal on Scientific Computing, Volume 42, issue 2, pp. B425-B446
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
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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