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.

翻译：我们针对采用Nitsche方法建立的摩擦接触问题，提出了一种高效简化基方法。研究聚焦于小变形情形和Tresca摩擦模型。该方法计算效率的关键在于：利用经验插值法处理接触与摩擦条件引起的非线性问题。所提算法被应用于参数依赖半径的两半圆盘间赫兹接触问题。我们还通过与混合（原始-对偶）公式的对比，凸显了本方法的优势。