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Franz Chouly, Mathieu Fabre, Patrick Hild, Jérôme Pousin, Yves Renard, Residual-based a posteriori error estimation for contact problems approximated by Nitsche’s method, IMA Journal of Numerical Analysis, Volume 38, Issue 2, April 2018, Pages 921–954, https://doi.org/10.1093/imanum/drx024
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Abstract
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.
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