Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method
Chouly, Franz ; Fabre, Mathieu ; Hild, Patrick ; Pousin, Jérôme ; Renard, Yves
In: IMA Journal of Numerical Analysis, 2018, vol. 38, no. 2, p. 921-954
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- We introduce a residual-based a posteriori error estimator for contact problems in two- and three-dimensional linear elasticity, discretized with linear and quadratic finite elements and Nitsche's method. Efficiency and reliability of the estimator are proved under a saturation assumption. Numerical experiments illustrate the theoretical properties and the good performance of the estimator.