A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
Saber Amdouni, Patrick Hild, Vanessa Lleras, Maher Moakher, Yves Renard (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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The purpose of this paper is to provide error estimates on the approximation of contact conditions in the framework of the eXtended Finite-Element Method (XFEM) for two dimensional elastic bodies. This method allows to perform finite-element computations on cracked domains by using meshes of the non-cracked domain. We consider a stabilized Lagrange multiplier method whose particularity is that no discrete inf-sup condition is needed in the convergence analysis. The contact condition...