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 …

Geometric multiscale modeling of the cardiovascular system, between theory and practice

A Quarteroni, A Veneziani, C Vergara - Computer Methods in Applied …, 2016 - Elsevier
This review paper addresses the so called geometric multiscale approach for the numerical
simulation of blood flow problems, from its origin (that we can collocate in the second half …

[图书][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 …

[HTML][HTML] MORe DWR: space-time goal-oriented error control for incremental POD-based ROM for time-averaged goal functionals

H Fischer, J Roth, T Wick, L Chamoin, A Fau - Journal of Computational …, 2024 - Elsevier
In this work, the dual-weighted residual (DWR) method is applied to obtain an error-
controlled incremental proper orthogonal decomposition (POD) based reduced order model …

Inverse problems in blood flow modeling: A review

D Nolte, C Bertoglio - International journal for numerical …, 2022 - Wiley Online Library
Mathematical and computational modeling of the cardiovascular system is increasingly
providing non‐invasive alternatives to traditional invasive clinical procedures. Moreover, it …

Accelerated simulation methodologies for computational vascular flow modelling

M MacRaild, A Sarrami-Foroushani… - Journal of the …, 2024 - royalsocietypublishing.org
Vascular flow modelling can improve our understanding of vascular pathologies and aid in
developing safe and effective medical devices. Vascular flow models typically involve …

A monolithic and a partitioned, reduced basis method for fluid–structure interaction problems

M Nonino, F Ballarin, G Rozza - Fluids, 2021 - mdpi.com
The aim of this work is to present an overview about the combination of the Reduced Basis
Method (RBM) with two different approaches for Fluid–Structure Interaction (FSI) problems …

POD–Galerkin monolithic reduced order models for parametrized fluid‐structure interaction problems

F Ballarin, G Rozza - … Journal for Numerical Methods in Fluids, 2016 - Wiley Online Library
In this paper, we propose a monolithic approach for reduced‐order modeling of
parametrized fluid‐structure interaction problems based on a proper orthogonal …

Overcoming slowly decaying Kolmogorov n-width by transport maps: application to model order reduction of fluid dynamics and fluid--structure interaction problems

M Nonino, F Ballarin, G Rozza, Y Maday - arXiv preprint arXiv:1911.06598, 2019 - arxiv.org
In this work we focus on reduced order modelling for problems for which the resulting
reduced basis spaces show a slow decay of the Kolmogorov $ n $-width, or, in practical …

Efficient estimation of cardiac conductivities via POD-DEIM model order reduction

H Yang, A Veneziani - Applied Numerical Mathematics, 2017 - Elsevier
Clinical oriented applications of computational electrocardiology require efficient and
reliable identification of patient-specific parameters of mathematical models based on …