Details
Original language | English |
---|---|
Article number | 114315 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 412 |
Early online date | 7 Apr 2022 |
Publication status | Published - 1 Oct 2022 |
Abstract
Keywords
- Deal.II, Dual-weighted residuals, Fluid–structure interaction, Mesh adaptivity, Multigoal-oriented error estimation
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Journal of Computational and Applied Mathematics, Vol. 412, 114315, 01.10.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Multigoal-oriented error estimation and mesh adaptivity for fluid–structure interaction
AU - Ahuja, K.
AU - Endtmayer, B.
AU - Steinbach, M. C.
AU - Wick, T.
N1 - Funding Information: This work has been supported by the DAAD, Germany in the project ?A new passage to India? between the Leibniz University Hannover and IIT Indore. Furthermore, the second and last authors are affiliated to the Cluster of Excellence PhoenixD (EXC 2122, Project ID 390833453). Moreover, the second author acknowledges support from the Austrian Science Fund (FWF) under the grant P-29181 ?Goal-Oriented Error Control for Phase-Field Fracture Coupled to Multiphysics Problems? at the beginning of this work in Linz. The third author is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) ? SFB1463 ? 434502799. Funding Information: This work has been supported by the DAAD, Germany in the project ‘A new passage to India’ between the Leibniz University Hannover and IIT Indore. Furthermore, the second and last authors are affiliated to the Cluster of Excellence PhoenixD (EXC 2122, Project ID 390833453). Moreover, the second author acknowledges support from the Austrian Science Fund (FWF) under the grant P-29181 ‘Goal-Oriented Error Control for Phase-Field Fracture Coupled to Multiphysics Problems’ at the beginning of this work in Linz. The third author is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – SFB1463 – 434502799 .
PY - 2022/10/1
Y1 - 2022/10/1
N2 - In this work, we consider multigoal-oriented error estimation for stationary fluid-structure interaction. The problem is formulated within a variational-monolithic setting using arbitrary Lagrangian-Eulerian coordinates. Employing the dual-weighted residual method for goal-oriented a posteriori error estimation, adjoint sensitivities are required. For multigoal-oriented error estimation, a combined functional is formulated such that several quantities of interest are controlled simultaneously. As localization technique for mesh refinement we employ a partition-of-unity. Our algorithmic developments are substantiated with several numerical tests such as an elastic lid-driven cavity with two goal functionals, an elastic bar in a chamber with two goal functionals, and the FSI-1 benchmark with three goal functionals.
AB - In this work, we consider multigoal-oriented error estimation for stationary fluid-structure interaction. The problem is formulated within a variational-monolithic setting using arbitrary Lagrangian-Eulerian coordinates. Employing the dual-weighted residual method for goal-oriented a posteriori error estimation, adjoint sensitivities are required. For multigoal-oriented error estimation, a combined functional is formulated such that several quantities of interest are controlled simultaneously. As localization technique for mesh refinement we employ a partition-of-unity. Our algorithmic developments are substantiated with several numerical tests such as an elastic lid-driven cavity with two goal functionals, an elastic bar in a chamber with two goal functionals, and the FSI-1 benchmark with three goal functionals.
KW - Deal.II
KW - Dual-weighted residuals
KW - Fluid–structure interaction
KW - Mesh adaptivity
KW - Multigoal-oriented error estimation
UR - http://www.scopus.com/inward/record.url?scp=85129500625&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2022.114315
DO - 10.1016/j.cam.2022.114315
M3 - Article
VL - 412
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0771-050X
M1 - 114315
ER -