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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}} | ||
Latest revision as of 12:43, 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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