Optimal Pressure Boundary Control of Steady Multiscale Fluid-Structure Interaction Shell Model Derived from Koiter Equations

Fluid-structure interaction (FSI) problems are of great interest, due to their applicability in science and engineering. However, the coupling between large fluid domains small moving solid walls presents numerous numerical difficulties and, some configurations, where thickness wall can be neglected, one consider membrane models, which derived from Koiter shell equations with a reduction computational cost algorithm. With this assumption, FSI simulation is reduced on mesh together Robin boundary condition that imposed surface. In manuscript, we interested study inverse aim achieve an objective by changing design parameters, such as forces, conditions, or geometrical domain shapes. We model using optimal control approach based Lagrange multipliers adjoint variables. particular, propose pressure purpose deformation boundary. report results tests for two-dimensional demonstrate feasibility robustness our method.