The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017 - cambridge.org
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 …

Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function

A Quarteroni, T Lassila, S Rossi… - Computer Methods in …, 2017 - Elsevier
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 …

[BOOK][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications

A Quarteroni, A Manzoni, C Vergara - 2019 - books.google.com
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

Fluid–structure partitioned procedures based on Robin transmission conditions

S Badia, F Nobile, C Vergara - Journal of Computational Physics, 2008 - Elsevier
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 …

[PDF][PDF] Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation

M Discacciati, A Quarteroni - Rev. Mat. Complut, 2009 - researchgate.net
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 …

Fluid-structure interactions using different mesh motion techniques

T Wick - Computers & Structures, 2011 - Elsevier
In this work, we compare different mesh moving techniques for monolithically-coupled fluid-
structure interactions in arbitrary Lagrangian–Eulerian coordinates. The mesh movement is …

[BOOK][B] Advanced reduced order methods and applications in computational fluid dynamics

G Rozza, G Stabile, F Ballarin - 2022 - SIAM
Reduced order modeling is an important and fast-growing research field in computational
science and engineering, motivated by several reasons, of which we mention just a few …

Stable loosely-coupled-type algorithm for fluid–structure interaction in blood flow

G Guidoboni, R Glowinski, N Cavallini… - Journal of Computational …, 2009 - Elsevier
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 …

[HTML][HTML] Parallel coupling numerics for partitioned fluid–structure interaction simulations

M Mehl, B Uekermann, H Bijl, D Blom… - … & Mathematics with …, 2016 - Elsevier
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 …

Parallel algorithms for fluid-structure interaction problems in haemodynamics

P Crosetto, S Deparis, G Fourestey… - SIAM Journal on Scientific …, 2011 - SIAM
The increasing computational load required by most applications and the limits in hardware
performances affecting scientific computing contributed in the last decades to the …