4 papers
Asymptotic gauge-invariant Hybrid High-Order method for magnetic Schrödinger equations
Joubine Aghili
We introduce a Hybrid High-Order (HHO) method for the Schrödinger equation in the presence of a magnetic vector potential. In quantum mechanics, physical observables are invariant…
Data-efficient extraction of optical properties from 3D Monte Carlo TPSFs using Bi-LSTM transfer learning
Joubine Aghili, Rémi Imbach, Anne Pallarès +2
Time-Resolved Spectroscopy (TRS) is a powerful modality for non-invasive characterization of turbid media. However, extracting optical properties, absorption and reduced sca…
Nonlinear compressive reduced basis approximation : when Taylor meets Kolmogorov
Joubine Aghili, Hassan Ballout, Yvon Maday +1
This paper investigates model reduction methods for efficiently approximating the solution of parameter-dependent PDEs with a multi-parameter vector . In c…
Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators
Joubine Aghili, Emmanuel Franck, Romain Hild +2
It is well known that Newton's method can have trouble converging if the initial guess is too far from the solution. Such a problem particularly occurs when this method is used to…