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== Abstract ==
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== Summary ==
  
 
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.
 
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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== Video ==
 
== Video ==
 
{{#evt:service=cloudfront|id=257302|alignment=center|filename=439.mp4}}
 
{{#evt:service=cloudfront|id=257302|alignment=center|filename=439.mp4}}

Revision as of 12:41, 8 June 2021

Summary

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, 2021
DOI: 10.23967/admos.2021.008
Licence: CC BY-NC-SA license

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