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 -