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most citedApproximation of balanced viscosity solutions of a rate-independent damage model by combining alternate minimization with a local minimization algorithm

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math.OC2018

Optimal control of a rate-independent system constrained to parametrized balanced viscosity solutions

Dorothee Knees, Stephanie Thomas

We analyze an optimal control problem governed by a rate-independent system in an abstract infinite-dimensional setting. The rate-independent system is characterized by a nonconvex…