Details
| Original language | English |
|---|---|
| Title of host publication | Current Trends and Open Problems in Computational Mechanics |
| Place of Publication | Cham |
| Publisher | Springer Verlag |
| Pages | 247–255 |
| Number of pages | 9 |
| ISBN (electronic) | 9783030873127 |
| ISBN (print) | 9783030873110 |
| Publication status | Published - 13 Mar 2022 |
Abstract
In this work, we present an algorithmic realization for computing optimal control problems with quasi-static phase-field fracture as a PDE constraint. The phase-field fracture problem is formulated in a quasi-monolithic approach resulting in a nonlinear forward problem. The optimization problem is formulated within a reduced approach, where the state variable is eliminated. To this end, a globalized reduced Newton algorithm is employed. Our algorithmic developments are substantiated with a numerical example.
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Current Trends and Open Problems in Computational Mechanics. Cham: Springer Verlag, 2022. p. 247–255.
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Optimal Control for Phase-Field Fracture: Algorithmic Concepts and Computations
AU - Khimin, Denis
AU - Steinbach, Marc C.
AU - Wick, Thomas
PY - 2022/3/13
Y1 - 2022/3/13
N2 - In this work, we present an algorithmic realization for computing optimal control problems with quasi-static phase-field fracture as a PDE constraint. The phase-field fracture problem is formulated in a quasi-monolithic approach resulting in a nonlinear forward problem. The optimization problem is formulated within a reduced approach, where the state variable is eliminated. To this end, a globalized reduced Newton algorithm is employed. Our algorithmic developments are substantiated with a numerical example.
AB - In this work, we present an algorithmic realization for computing optimal control problems with quasi-static phase-field fracture as a PDE constraint. The phase-field fracture problem is formulated in a quasi-monolithic approach resulting in a nonlinear forward problem. The optimization problem is formulated within a reduced approach, where the state variable is eliminated. To this end, a globalized reduced Newton algorithm is employed. Our algorithmic developments are substantiated with a numerical example.
UR - http://www.scopus.com/inward/record.url?scp=85137164920&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-87312-7_24
DO - 10.1007/978-3-030-87312-7_24
M3 - Contribution to book/anthology
SN - 9783030873110
SP - 247
EP - 255
BT - Current Trends and Open Problems in Computational Mechanics
PB - Springer Verlag
CY - Cham
ER -