4 papers
Numerical analysis of scattering on combinatorial graphs
Moysey Brio, Jean-Guy Caputo
We investigate numerically the scattering of waves on discrete graphs. An efficient algorithm is developed to compute the reflection and transmission (spectral) coefficients. We th…
Mathematical analysis of a flux-jump model in superconductivity
Jean-Guy Caputo, Nathan Rouxelin
Type II superconductors can trap a transient magnetic field and become "cryomagnets" that are very useful for applications. During this process, flux jumps i.e. sudden jumps of the…
Tracking disturbances in transmission networks
Jean-Guy Caputo, Adel Hamdi
We study the nonlinear inverse source problem of detecting, localizing and identifying unknown accidental disturbances on forced and damped transmission networks. A first result is…
An Abelian Higgs model of pulsed field magnetization in superconductors
Jean-Guy Caputo, Ionut Danaila, Cyril Tain
Pulsed field magnetization leads to trapped magnetic field persistent for long times.We present a one-dimensional model of the interaction between an electromagnetic wave and a sup…