Research Areas

Numerical and mathematical problems related to waves and diffusion

Inverse problem

Key words:

Inverse scattering, Linear Sampling Method, Interior transmission problem, Generalized Linear Sampling Method, Cracks identification, Conformal mapping

Books:

A short introduction to sampling methods for electromagnetics
Inverse Scattering Theory and Transmission Eigenvalues

Some realizations:

Reconstruction of an aircarft using the LSM algorithm
Reconstruction of a teapot
Download the software Samplings 2D (direct and inverse solver of 2-D scattering problems)

Current research:

Identification of cracks
Sampling Methods in inverse scattering / Differential imaging
Electrostatic imaging via conformal mapping

Forward problem

Key words:

Thin layer approximations, Asymptotic analysis and Homogenization, Rough surfaces, Diffusion MRI, Periodic media

Current research:

Transmission conditions for rough interfaces
Homogenized models for Diffusion MRI
Modeling of scattering from periodic media