Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

Cardiovascular diseases have a major impact in Western countries. Mathematical models
and numerical simulations can aid the understanding of physiological and pathological …

In this article we design new partitioned procedures for fluid–structure interaction problems,
based on Robin-type transmission conditions. The choice of the coefficient in the Robin …

This paper is an overview of known and new results about the coupling of Navier-Stokes
and Darcy equations to model the filtration of incompressible fluids through porous media …

In this work, we compare different mesh moving techniques for monolithically-coupled fluid-
structure interactions in arbitrary Lagrangian–Eulerian coordinates. The mesh movement is …

We introduce a novel loosely coupled-type algorithm for fluid–structure interaction between
blood flow and thin vascular walls. This algorithm successfully deals with the difficulties …

The increasing computational load required by most applications and the limits in hardware
performances affecting scientific computing contributed in the last decades to the …

The interaction between a fluid and a poroelastic structure is a complex problem that
couples the Navier–Stokes equations with the Biot system. The finite element approximation …

Within the last decade, very sophisticated numerical methods for the iterative and partitioned
solution of fluid–structure interaction problems have been developed that allow for high …