42 citations · 69 across the 4 of their papers we have counts for
5 papers
Waserstein model reduction approach for parametrized flow problems in porous media
Beatrice Battisti, Tobias Blickhan, Guillaume Enchéry +3
The aim of this work is to build a reduced-order model for parametrized porous media equations. The main challenge of this type of problems is that the Kolmogorov width of the solu…
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems
Felipe Galarce, Damiano Lombardi, Olga Mula
We develop a mathematical and numerical framework to solve state estimation problems for applications that present variations in the shape of the spatial domain. This situation ari…
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…
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…
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.…