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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Space‐time phase‐field fracture optimal control computations ; volume:22 ; number:1 ; year:2023 ; extent:0
Proceedings in applied mathematics and mechanics ; 22, Heft 1 (2023) (gesamt 0)

Creator
Khimin, Denis
C. Steinbach, Marc
Wick, Thomas

DOI
10.1002/pamm.202200010
URN
urn:nbn:de:101:1-2023032514243275255237
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:56 AM CEST

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