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 …

Publisher Summary The development of mathematical models, algorithms and numerical
simulation tools for the investigation of the human cardiovascular system has received a …

The aim of this work is to provide a mathematical contribution to explain the numerical
instabilities encountered under certain combinations of physical parameters in the …

We present a fully-coupled monolithic formulation of the fluid-structure interaction of an
incompressible fluid on a moving domain with a nonlinear hyperelastic solid. The arbitrary …

A NURBS (non-uniform rational B-splines)-based isogeometric fluid–structure interaction
formulation, coupling incompressible fluids with non-linear elastic solids, and allowing for …

The interaction between fluid and structure occurs in a wide range of engineering problems.
The solution for such problems is based on the relations of continuum mechanics and is …

This comprehensive text focuses on mathematical and numerical techniques for the
simulation of magnetohydrodynamic phenomena, with an emphasis laid on the …

A methodology for designing formally second-order time-accurate and yet loosely-coupled
partitioned procedures for the solution of nonlinear fluid–structure interaction (FSI) problems …

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 aims at introducing a partitioned Newton based method for solving nonlinear
coupled systems arising in the numerical approximation of fluid–structure interaction …