11 citations · 22 across the 13 of their papers we have counts for
5 papers · 2 filters
The Levenberg-Marquardt Iteration for Numerical Inversion of the Power Density Operator
Guillaume Bal, Wolf Naetar, Otmar Scherzer +1
In this paper we develop a convergence analysis in an infinite dimensional setting of the Levenberg-Marquardt iteration for the solution of a hybrid conductivity imaging problem. T…
Convergence to SPDE of the Schrodinger equation with large, random potential
Ningyao Zhang, Guillaume Bal
We study the asymptotic behavior of solutions to the Schr{ö}dinger equation with large-amplitude, highly oscillatory, random potential. In dimension , where $\mathf…
Boundary control of elliptic solutions to enforce local constraints
Guillaume Bal, Matias Courdurier
We present a constructive method to devise boundary conditions for solutions of second-order elliptic equations so that these solutions satisfy specific qualitative properties such…
Radiative Transport Limit of Dirac Equations with Random Electromagnetic Field
Yu Gu, Guillaume Bal
This paper concerns the kinetic limit of the Dirac equation with random electromagnetic field. We give a detailed mathematical analysis of the radiative transport limit for the pha…
Inverse anisotropic conductivity from power densities in dimension
Francois Monard, Guillaume Bal
We investigate the problem of reconstructing a fully anisotropic conductivity tensor from internal functionals of the form where solves $\nabla\cdo…