Residual-based a posteriori error estimation for contact problems approximated by Nitsche's method.

We introduce a residual-based a posteriori error estimator for contact problems in two- and threedimensional 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. [ABSTRACT FROM AUTHOR]