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Article Dans Une Revue Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics Année : 2012

Numerical convergence and stability of mixed formulation with X-fem cut-off

Résumé

In this paper we are concerned with the mathematical and numerical analysis of convergence and stability of the mixed formulation for incompressible elasticity in cracked domains. The objective is to extend the X-FEM cut-off analysis done in the case of compressible elasticity to the incompressible one. A mathematical proof of the inf-sup condition of the discrete mixed formulation with X-FEM is established for some enriched fields. We also give a mathematical result of quasi-optimal error estimate. Finally, we validate these results with numerical tests.
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hal-00863124 , version 1 (19-04-2018)

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Saber Amdouni, Khalil Mansouri, Yves Renard, Makrem Arfaoui, Maher Moakher. Numerical convergence and stability of mixed formulation with X-fem cut-off. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2012, 21 (3-6), pp.160-173. ⟨10.1080/17797179.2012.714724⟩. ⟨hal-00863124⟩
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