We present an a posteriori error estimation based on a equilibrated H(div)-conforming stress reconstruction for unilateral contact problems without friction, discretized with a Nitsche-based method. The stress reconstruction is obtained via local Neumann problems constructed on Arnold-Falk-Winther mixed finite element spaces, and it is used to compute some local and global estimators which separate the different components of the computational error. These local estimators provide a method to adaptively refine the mesh.



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Published on 08/06/21
Accepted on 08/06/21
Submitted on 08/06/21

Volume MS02 - Applications of Goal-Oriented Error Estimation and Adaptivity II, 2021
Licence: CC BY-NC-SA license

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