On Nitsche's method for elastic contact problems
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
SIAM Journal on Scientific Computing, Volume 42, issue 2
AbstractWe 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.
Elastic contact, Nitsche's method, Variational inequality
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