L
Luca Formaggia
Researcher at Polytechnic University of Milan
Publications - 151
Citations - 6776
Luca Formaggia is an academic researcher from Polytechnic University of Milan. The author has contributed to research in topics: Finite element method & Boundary value problem. The author has an hindex of 34, co-authored 147 publications receiving 6153 citations. Previous affiliations of Luca Formaggia include École Polytechnique Fédérale de Lausanne & Swansea University.
Papers
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Journal ArticleDOI
On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
TL;DR: In this article, the authors propose an approach to couple the original 3D equations with a convenient 1D model for the analysis of flows in compliant vessels, which allows for a dramatic reduction of the computational complexity and is suitable for ''absorbing» outgoing pressure waves.
Book
Cardiovascular Mathematics : Modeling and simulation of the circulatory system
TL;DR: This book provides a set of well described and reproducible test cases and applications of cardiovascular physiopathology, focusing on the main characteristics of the different flow regimes encountered in the cardiovascular system.
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One-dimensional models for blood flow in arteries
TL;DR: In this article, a family of one-dimensional nonlinear systems which model the blood pulse propagation in compliant arteries is presented and investigated by averaging the Navier-Stokes equation on each section of an arterial vessel and using simplified models for the vessel compliance.
Journal ArticleDOI
Finite element Euler computations in three dimensions
TL;DR: In this paper, a two-step explicit FEM solution algorithm for the three-dimensional compressible Euler and Navier-Stokes equations based on unstructured triangular and tetrahedral grids is described and demonstrated.
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Computational modelling of 1D blood flow with variable mechanical properties and its application to the simulation of wave propagation in the human arterial system
TL;DR: In this paper, the authors numerically investigate a one-dimensional model of blood flow in human arteries using both a discontinuous Galerkin and a Taylor-Galerkin formulation.