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

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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… Click to show full 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.

Keywords: nitsche method; residual based; based posteriori; contact problems; posteriori error

Journal Title: Ima Journal of Numerical Analysis
Year Published: 2018

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