Domain Decomposition Solvers for the Fluid-Structure Interaction Problems with Anisotropic Elasticity Models

In this work, a two-layer coupled fluid-structure-structure interaction model is considered, which incorporates an anisotropic structure model into the fluid-structure interaction problems. We propose two domain decomposition solvers for such a class of coupled problems: a Robin-Robin preconditioned GMRES solver combined with an inner Dirichlet-Neumann iterative solver, and a Robin-Robin preconditioned GMRES solver combined with an inner monolithic algebraic multigrid solver capable of handling an anisotropic compressible and nearly incompressible sub-problem.