A Class of Fluid-structure Interaction Solvers with a Nearly Incompressible Elasticity Model

In this paper, we present some numerical studies on two partitioned fluid-structure interaction solvers: a preconditioned GMRES solver and a Newton based solver, for the fluid-structure interaction problems employing a nearly incompressible elasticity model in a classical mixed displacementpressure formulation. Both are highly relying on robust and efficient solvers for the fluid and structure sub-problems obtained from an extended and stabilized finite element discretization on hybrid meshes. For solving the discretized sub-problems with incompressible and nearly incompressible models, a special algebraic multigrid method capable of handling such general saddle point systems is investigated.