On Nitsche's method for elastic contact problems

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Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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.

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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