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math.NA2026
Schur complement domain decomposition for 3D fluid - 2D plate interaction system: analysis and preconditioning
Lander Besabe, Hyesuk Lee
Fluid-structure interaction problems involving three-dimensional fluids coupled with thin elastic plates arise in many engineering applications and present significant computationa…
math.NA2026
Finite element approximation for a reformulation of a 3D fluid-2D plate interaction system
Lander Besabe, Hyesuk Lee
We study a finite element approximation of a coupled fluid-structure interaction consisting of a three-dimensional incompressible viscous fluid governed by the unsteady Stokes equa…
math.NA2024
Decoupling methods for fluid-structure interaction with local time-stepping
Hemanta Kunwar, Hyesuk Lee
We introduce two global-in-time domain decomposition methods, namely the Steklov-Poincare method and the Robin method, for solving a fluid-structure interaction system. These metho…