A reduced basis method for frictional contact problems formulated with Nitsche's method
Numerical Analysis
2023-07-24 v1 Numerical Analysis
Abstract
We develop an efficient reduced basis method for the frictional contact problem formulated using Nitsche's method. We focus on the regime of small deformations and on Tresca friction. The key idea ensuring the computational efficiency of the method is to treat the nonlinearity resulting from the contact and friction conditions by means of the Empirical Interpolation Method. The proposed algorithm is applied to the Hertz contact problem between two half-disks with parameter-dependent radius. We also highlight the benefits of the present approach with respect to the mixed (primal-dual) formulation.
Cite
@article{arxiv.2307.11541,
title = {A reduced basis method for frictional contact problems formulated with Nitsche's method},
author = {Idrissa Niakh and Guillaume Drouet and Virginie Ehrlacher and Alexandre Ern},
journal= {arXiv preprint arXiv:2307.11541},
year = {2023}
}