3 papers
math.NA2020
Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging
Felipe Galarce, Damiano Lombardi, Olga Mula
The present contribution deals with the estimation of haemodynamics Quantities of Interest by exploiting Ultrasound Doppler measurements. A fast method is proposed, based on the PB…
math.NA2019
Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces
V. Ehrlacher, D. Lombardi, O. Mula +1
We consider the problem of model reduction of parametrized PDEs where the goal is to approximate any function belonging to the set of solutions at a reduced computational cost. For…
math.NA2019
Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models
Felipe Galarce, Jean-Frédéric Gerbeau, Damiano Lombardi +1
This paper deals with the problem of building fast and reliable 3D reconstruction methods for blood flows for which partial information is given by Doppler ultrasound measurements.…