On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction

05/30/2022
by   H. Gfrerer, et al.
0

In the paper, a variant of the 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.

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