  We study the interaction between an incompressible, viscous, Newtonian fluid
and a multilayered structure, which consists of a thin elastic layer and a
thick poroelastic material. The thin layer is modeled using the linearly
elastic Koiter membrane model, while the thick poroelastic layer is modeled as
a Biot system. The objective of this work is to investigate how the poroelastic
phenomena affect the characteristic features of blood flow in arteries, such as
propagation of pressure waves. We develop a loosely coupled fluid-structure
interaction finite element solver based on the Lie operator splitting scheme.
We prove a conditional stability of the scheme and derive error estimates.
Theoretical results are supported with numerical examples.
