Homogenization in the energy variable for a neutron transport model

Autor: Harsha Hutridurga, Francesco Salvarani, Olga Mula

Publikováno v: Asymptotic Analysis
Asymptotic Analysis, IOS Press, 2019, pp.1-25. ⟨10.3233/ASY-191544⟩

his article addresses the homogenization of linear Boltzmann equation when the optical parameters are highly heterogeneous in the energy variable. We employ the method of two-scale convergence to arrive at the homogenization result. In doing so, we s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39f272d1834965c46ecdb9c6dbb9e08a
https://doi.org/10.3233/asy-191544

Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models

Autor: Jean-Frédéric Gerbeau, Olga Mula, Damiano Lombardi, Felipe Galarce

Publikováno v: Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2021, ⟨10.1016/j.cma.2020.113559⟩
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2021, ⟨10.1016/j.cma.2020.113559.⟩
Computer Methods in Applied Mechanics and Engineering, 2021, ⟨10.1016/j.cma.2020.113559⟩

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. This task is of interest in medicine since it could enrich the availa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc36c0c7affa49b7cb5cf7145c27338b
https://hal.archives-ouvertes.fr/hal-02403686

Epidemiological Forecasting with Model Reduction of Compartmental Models. Application to the COVID-19 Pandemic

Autor: Thomas Boiveau, Olga Mula, Athmane Bakhta, Yvon Maday

Publikováno v: Biology
Volume 10
Issue 1
Biology, 2020, 10 (1), pp.22. ⟨10.3390/biology10010022⟩
Biology, MDPI 2020, 10 (1), pp.22. ⟨10.3390/biology10010022⟩
Biology, Vol 10, Iss 22, p 22 (2021)

Simple Summary Using tools from the reduced order modeling of parametric ODEs and PDEs, including a new positivity-preserving greedy reduced basis method, we present a novel forecasting method for predicting the propagation of an epidemic. The method

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48da3962cddd0d55827af9d4c31568db

Optimal reduced model algorithms for data-based state estimation

Autor: Jalal M. Fadili, Olga Mula, Albert Cohen, James A. Nichols, Ronald A. DeVore, Wolfgang Dahmen

Publikováno v: SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis, 2020, ⟨10.1137/19M1255185⟩
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2020, ⟨10.1137/19M1255185⟩

International audience; Reduced model spaces, such as reduced basis and polynomial chaos, are linear spaces $V_n$ of finite dimension $n$ which are designed for the efficient approximation of families parametrized PDEs in a Hilbert space $V$. The man

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0629046430505d807e8747d03474ff8c
https://hal.science/hal-02404309

Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging

Autor: Felipe Galarce, Olga Mula, Damiano Lombardi

Publikováno v: International Journal for Numerical Methods in Biomedical Engineering
International Journal for Numerical Methods in Biomedical Engineering, 2020, ⟨10.1002/cnm.3416⟩
International Journal for Numerical Methods in Biomedical Engineering, John Wiley and Sons, 2020, ⟨10.1002/cnm.3416⟩

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 PBDW method. Several methodological contributions are described: a sub-m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::911e1e8fa769b3549d394c77fcb8e0fa
https://hal.science/hal-03037328