On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
针对多值部分为SCD映射的广义方程，提出一种牛顿法，在较弱的正则性条件下具有超线性收敛性，并应用于离散化的含库仑摩擦静态接触问题。
Newton method is developed for the numerical solution of generalized equations, in which the multi-valued part is a so-called SCD (subspace containing derivative) mapping. Under a rather mild regularity requirement, the method exhibits (locally) superlinear convergence behavior. From the main conceptual algorithm, two implementable variants are derived whose efficiency is tested via a generalized equation modeling a discretized static contact problem with Coulomb friction.