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Article Dans Une Revue SMAI Journal of Computational Mathematics Année : 2016

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

Résumé

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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Dates et versions

hal-00960996 , version 1 (19-03-2014)
hal-00960996 , version 2 (16-07-2015)
hal-00960996 , version 3 (12-02-2018)

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  • HAL Id : hal-00960996 , version 2

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Mathieu Fabre, Jérôme Pousin, Yves Renard. A fictitious domain method for frictionless contact problems in elasticity using Nitsche's method. SMAI Journal of Computational Mathematics, 2016, 2, pp.19--50. ⟨hal-00960996v2⟩
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