Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | 16th World Congress in Computational Mechanics (WCCM) |
| Herausgeber/-innen | A. Korobenko, M. Laforest, S. Proudhomme, R. Vaziri |
| Publikationsstatus | Veröffentlicht - 21 Juli 2024 |
| Veranstaltung | 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, WCCM-PANACM 2024 - Vancouver, Kanada Dauer: 21 Juli 2024 → 26 Juli 2024 |
Abstract
This work focuses on temporal adaptivity for phase-field fracture problems. The methodology requires a space-time formulation and utilizes a space-time Galerkin finite element discretization for the governing phase-field equations. Then, goal functionals (i.e., quantities of interest) are introduced. The computational implementation of goal-oriented error control employs the dual-weighted residual method in which an adjoint problem must be solved. As the analysis is quasi-static, without a temporal derivative, the adjoint problem of the quasi-static primal problem decouples in time. Nonetheless, time-averaged goal functionals can also be considered. The temporal errors are localized using a partition of unity, which allows one to adaptively refine and coarsen the time intervals in the space-time cylinder. Numerical tests are performed on a single edge notched tensile test to investigate the quality of the proposed error estimator.
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16th World Congress in Computational Mechanics (WCCM). Hrsg. / A. Korobenko; M. Laforest; S. Proudhomme; R. Vaziri. 2024.
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review
}
TY - GEN
T1 - Dual-weighted residual goal-oriented error estimation for temporal adaptivity in phase-field fracture
AU - Kosin, V.
AU - Fau, A.
AU - Hild, F.
AU - Wick, T.
N1 - Publisher Copyright: © 2024, Scipedia S.L. All rights reserved.
PY - 2024/7/21
Y1 - 2024/7/21
N2 - This work focuses on temporal adaptivity for phase-field fracture problems. The methodology requires a space-time formulation and utilizes a space-time Galerkin finite element discretization for the governing phase-field equations. Then, goal functionals (i.e., quantities of interest) are introduced. The computational implementation of goal-oriented error control employs the dual-weighted residual method in which an adjoint problem must be solved. As the analysis is quasi-static, without a temporal derivative, the adjoint problem of the quasi-static primal problem decouples in time. Nonetheless, time-averaged goal functionals can also be considered. The temporal errors are localized using a partition of unity, which allows one to adaptively refine and coarsen the time intervals in the space-time cylinder. Numerical tests are performed on a single edge notched tensile test to investigate the quality of the proposed error estimator.
AB - This work focuses on temporal adaptivity for phase-field fracture problems. The methodology requires a space-time formulation and utilizes a space-time Galerkin finite element discretization for the governing phase-field equations. Then, goal functionals (i.e., quantities of interest) are introduced. The computational implementation of goal-oriented error control employs the dual-weighted residual method in which an adjoint problem must be solved. As the analysis is quasi-static, without a temporal derivative, the adjoint problem of the quasi-static primal problem decouples in time. Nonetheless, time-averaged goal functionals can also be considered. The temporal errors are localized using a partition of unity, which allows one to adaptively refine and coarsen the time intervals in the space-time cylinder. Numerical tests are performed on a single edge notched tensile test to investigate the quality of the proposed error estimator.
KW - Dual-weighted residual method
KW - Goal-oriented temporal adaptivity
KW - Phase-field fracture
KW - Single edge notched tensile test
KW - Space–time finite ements
UR - http://www.scopus.com/inward/record.url?scp=85216781746&partnerID=8YFLogxK
U2 - 10.23967/wccm.2024.035
DO - 10.23967/wccm.2024.035
M3 - Conference contribution
AN - SCOPUS:85216781746
BT - 16th World Congress in Computational Mechanics (WCCM)
A2 - Korobenko, A.
A2 - Laforest, M.
A2 - Proudhomme, S.
A2 - Vaziri, R.
T2 - 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, WCCM-PANACM 2024
Y2 - 21 July 2024 through 26 July 2024
ER -