Multigoal-oriented error estimation and mesh adaptivity for fluid–structure interaction

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 goal-oriented posteriori estimation, adjoint sensitivities are required. For combined functional such that several quantities of interest controlled simultaneously. As localization technique mesh refinement employ partition-of-unity. Our algorithmic developments substantiated with numerical tests as an elastic lid-driven cavity two goal functionals, bar in chamber and FSI-1 benchmark three functionals.