Computational performance studies for space-time phase-field fracture optimal control problems

03/28/2022

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by   Denis Khimin, et al.

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The purpose of this work are computational demonstations for a newly developed space-time phase-field fracture optimal control framework. The optimal control solution algorithm is a Newton algorithm, which is obtained with the reduced approach by eliminating the state constraint. Due to the crack irreversibility constraint, a rate-independent problem arises, which is treated by penalization and for which we utilize a space-time approach. Therein, we deal with the state, adjoint, tangent, and adjoint Hessian equations. Our fully discretized space-time optimization algorithm is presented and extensively tested with various numerical experiments.