In this paper, an electro-elastic frictional contact problem is studied numerically as a hemivariational inequality. Convergence of the Galerkin approximation for the hemivariational inequality is proved, and Céa’s type inequalities are derived for error estimation. The results are applied to the electro-elastic contact problem, and an optimal order error estimate is deduced for linear element approximation. Finally, two numerical examples are reported, providing numerical evidence of the optimal convergence order theoretically predicted.

中文翻译：

---

由半变分不等式建模的电弹性摩擦接触问题的数值逼近

在本文中，将电弹性摩擦接触问题作为半变分不等式进行了数值研究。证明了半变分不等式的Galerkin逼近的收敛性，并推导了Céa型不等式以进行误差估计。将结果应用于电弹性接触问题，并推导了用于线性元素近似的最佳阶次误差估计。最后，报告了两个数值示例，为理论上预测的最佳收敛阶提供了数值证据。