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Article Dans Une Revue Mathematics of Computation Année : 2015

Symmetric and non-symmetric variants of Nitsche's method for contact problems in elasticity: theory and numerical experiments

Résumé

A general Nitsche method, which encompasses symmetric and non-symmetric variants, is proposed for frictionless unilateral contact problems in elasticity. The optimal convergence of the method is established both for two and three-dimensional problems and Lagrange affine and quadratic finite element methods. Two and three-dimensional numerical experiments illustrate the theory.
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Dates et versions

hal-00776619 , version 1 (15-01-2013)

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Franz Chouly, Patrick Hild, Yves Renard. Symmetric and non-symmetric variants of Nitsche's method for contact problems in elasticity: theory and numerical experiments. Mathematics of Computation, 2015, 84, pp.1089-1112. ⟨10.1090/S0025-5718-2014-02913-X⟩. ⟨hal-00776619⟩
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