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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 …
Partitioned simulation of fluid-structure interaction: Coupling black-box solvers with quasi-Newton techniques
In this review article, the focus is on partitioned simulation techniques for strongly coupled
fluid-structure interaction problems, especially on techniques which use at least one of the …
fluid-structure interaction problems, especially on techniques which use at least one of the …
An analysis of a new stable partitioned algorithm for FSI problems. Part I: Incompressible flow and elastic solids
Stable partitioned algorithms for fluid–structure interaction (FSI) problems are developed
and analyzed in this two-part paper. Part I describes an algorithm for incompressible flow …
and analyzed in this two-part paper. Part I describes an algorithm for incompressible flow …
Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction
We review and compare different fluid-structure interaction (FSI) numerical methods in the
context of heart modeling, aiming at assessing their computational efficiency for cardiac …
context of heart modeling, aiming at assessing their computational efficiency for cardiac …
Optimized Schwarz methods for the Stokes–Darcy coupling
This article studies optimized Schwarz methods for the Stokes–Darcy problem. Robin
transmission conditions are introduced, and the coupled problem is reduced to a suitable …
transmission conditions are introduced, and the coupled problem is reduced to a suitable …
An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure
We develop a loosely coupled fluid‐structure interaction finite element solver based on the
Lie operator splitting scheme. The scheme is applied to the interaction between an …
Lie operator splitting scheme. The scheme is applied to the interaction between an …
[HTML][HTML] A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction
We present a loosely coupled scheme for the numerical simulation of the cardiac electro-
fluid-structure interaction problem, whose solution is typically computationally intensive due …
fluid-structure interaction problem, whose solution is typically computationally intensive due …
[HTML][HTML] Efficient split-step schemes for fluid–structure interaction involving incompressible generalised Newtonian flows
Blood flow, dam or ship construction and numerous other problems in biomedical and
general engineering involve incompressible flows interacting with elastic structures. Such …
general engineering involve incompressible flows interacting with elastic structures. Such …
[HTML][HTML] Comparisons between reduced order models and full 3D models for fluid–structure interaction problems in haemodynamics
When modelling the cardiovascular system, the effect of the vessel wall on the blood flow
has great relevance. Arterial vessels are complex living tissues and three-dimensional …
has great relevance. Arterial vessels are complex living tissues and three-dimensional …