The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
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 …
has attracted remarkable interest from the mathematical community because of its intrinsic …
Geometric multiscale modeling of the cardiovascular system, between theory and practice
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 …
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
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
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
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 …
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 …
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 …
developing safe and effective medical devices. Vascular flow models typically involve …
A monolithic and a partitioned, reduced basis method for fluid–structure interaction problems
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 …
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 …
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
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 …
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 …
reliable identification of patient-specific parameters of mathematical models based on …