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

Chouly, Franz; Hild, Patrick; Renard, Yves

doi:10.1090/S0025-5718-2014-02913-X

Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity: theory and numerical experiments
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by Franz Chouly, Patrick Hild and Yves Renard;

Math. Comp. 84 (2015), 1089-1112

DOI: https://doi.org/10.1090/S0025-5718-2014-02913-X

Published electronically: October 31, 2014

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Abstract:

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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