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A fictitious domain method for frictionless contact problems in elasticity using Nitsche's method

Abstract : In this paper, we develop and analyze a finite element fictitious domain approach based on Nitsche's method for the approximation of frictionless contact problems of two deformable elastic bodies. In the proposed method, the geometry of the bodies and the boundary conditions, including the contact condition between the two bodies, are described independently of the mesh of the fictitious domain. We prove that the optimal convergence is preserved. Numerical experiments are provided which confirm the correct behavior of the proposed method.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00960996
Contributor : Yves Renard <>
Submitted on : Wednesday, March 19, 2014 - 12:38:35 PM
Last modification on : Wednesday, July 8, 2020 - 12:43:14 PM
Long-term archiving on: : Thursday, June 19, 2014 - 11:25:18 AM

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  • HAL Id : hal-00960996, version 1

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Mathieu Fabre, Jérôme Pousin, Yves Renard. A fictitious domain method for frictionless contact problems in elasticity using Nitsche's method. 2014. ⟨hal-00960996v1⟩

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