60 citations · 239 across the 11 of their papers we have counts for
12 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…
CP-TT: using TT-SVD to greedily construct a Canonical Polyadic tensor approximation
Virginie Ehrlacher, Maria Fuente Ruiz, Damiano Lombardi
In the present work, a method is proposed in order to compute a Canonical Polyadic (CP) approximation of a given tensor. It is based on a greedy method and an adaptation of the TT-…
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…
Approximation of Optimal Transport problems with marginal moments constraints
Aurélien Alfonsi, Rafaël Coyaud, Virginie Ehrlacher +1
Optimal Transport (OT) problems arise in a wide range of applications, from physics to economics. Getting numerical approximate solution of these problems is a challenging issue of…
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.…
Numerical quadrature in the Brillouin zone for periodic Schrodinger operators
Eric Cances, Virginie Ehrlacher, David Gontier +2
As a consequence of Bloch's theorem, the numerical computation of the fermionic ground state density matrices and energies of periodic Schrodinger operators involves integrals over…
A dynamical adaptive tensor method for the Vlasov-Poisson system
Virginie Ehrlacher, Damiano Lombardi
A numerical method is proposed to solve the full-Eulerian time-dependent Vlasov-Poisson system in high dimension. The algorithm relies on the construction of a tensor decomposition…
A non-parametric k-nearest neighbour entropy estimator
Damiano Lombardi, Sanjay Pant
A non-parametric k-nearest neighbour based entropy estimator is proposed. It improves on the classical Kozachenko-Leonenko estimator by considering non-uniform probability densitie…
Approximated Lax Pairs for the Reduced Order Integration of Nonlinear Evolution Equations
Jean-Frédéric Gerbeau, Damiano Lombardi
A reduced-order model algorithm, called ALP, is proposed to solve nonlinear evolution partial differential equations. It is based on approximations of generalized Lax pairs. Contra…
Reduced-Order Modeling based on Approximated Lax Pairs
Jean-Frédéric Gerbeau, Damiano Lombardi
A reduced-order model algorithm, based on approximations of Lax pairs, is proposed to solve nonlinear evolution partial differential equations. Contrary to other reduced-order meth…