Space‐time phase‐field fracture optimal control computations

Abstract

In this work, we undertake additional computational performance studies of a recently developed space-time phase-field fracture optimal control framework. Therein, the phase-field forward problem is formulated in a monolithic fashion. The optimal control problem is formulated with the help of the reduced approach in which the state variable is represented with a solution operator applied to the control. To this end, a Newton algorithm in the control variable is formulated for which auxiliary equations must be solved. Two numerical experiments demonstrate the capabilities of our framework.