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Luca Formaggia

Related publications (22)

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The LifeV library: engineering mathematics beyond the proof of concept

Simone Deparis, Davide Forti, Luca Formaggia

LifeV is a library for the finite element (FE) solution of partial differential equations in one, two, and three dimensions. It is written in C++ and designed to run on diverse parallel architectures, including cloud and high performance computing faciliti ...

2018

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Alfio Quarteroni, Christian Vergara, Luca Formaggia

In this work we discuss the reliability of the coupling among three-dimensional (3D) and one-dimensional (1D) models that describe blood flowing into the circulatory tree. In particular, we study the physical consistency of the 1D model with respect to the ...

Academic Press Inc Elsevier Science2013

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Over the last twenty years major advancements have taken place in the design of medical devices and personalized therapies. They have paralleled the impressive evolution of three-dimensional, non invasive, medical imaging techniques and have been continuou ...

2011

In this work we present a mathematical model of the evolution of aeolian sand dunes, in particular we consider the case of dunes formed by a mixture of sands with different characteristics. We first recall a basic model for the evolution of two dimensional ...

2011

Cardiovascular Mathematics

Alfio Quarteroni, Luca Formaggia

Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical ima ...

Springer2009

On the stability of the coupling of 3d and 1d fluid-structure interaction models for blood flow simulations

Fabio Nobile, Luca Formaggia

We consider the coupling between three-dimensional (3D) and one-dimensional (1D)fluidstructure interaction (FSI) models describing blood flow inside compliant vessels. The 1D model is a hyperbolic system of partial differential equations. The 3D model cons ...

2007

Complex Systems in Biomedicine

Alfio Quarteroni, Luca Formaggia

Mathematical modeling of human physiopathology is a tremendously ambitious task. It encompasses the modeling of most diverse compartments such as the cardiovascular, respiratory, skeletal and nervous systems, as well as the mechanical and biochemical inter ...

Springer2006

Stability analysis of second-order time accurate schemes for ALE-FEM

Fabio Nobile, Luca Formaggia

In this work we will introduce and analyze the Arbitrary Lagrangian Eulerian formulation for a model problem of a scalar advection-diffusion equation defined on a moving domain. Moving from the results illustrated in our previous work [J. Num. Math. 7 (199 ...

Elsevier2004

Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions

Simone Deparis, Luca Formaggia

In this work, we address the numerical solution of fluid-structure interaction problems. This issue is particularly difficulty to tackle when the fluid and the solid densities are of the same order, for instance as it happens in hemodynamic applications, s ...

2003

One-dimensional models for blood flow in arteries

Alfio Quarteroni, Luca Formaggia

In this paper a family of one-dimensional nonlinear systems which model the blood pulse propagation in compliant arteries is presented and investigated. They are obtained by averaging the Navier-Stokes equation on each section of an arterial vessel and usi ...

2003