Research Themes

Current research activities can also be found in the group's activity report

Qualitative methods for inverse scattering problems

• Samplings methods for multistatic data at a fixed frequency
• Qualitative estimates for target identification problems

Shape and topological optimization methods for inverse problems

• Homogenization and small amplitude homogenization methods
• Level Set methods
• Toplogical gradient methods

Hybrid methods for imaging problems

• Hybrid methods for data completion
• Hybrid methods for inverse scattering problems at a fixed frequency

Asymptotic methods

• GIBC for coatings, boundary layer effects, very rough interfaces, ...
• Scattering in highly oscillating media

Regularization and stability issues for ill-posed problems and imaging

• Stability estimates for the Cauchy problems
• Methods of total variation, Edge preserving image reconstructions, ...

Methods for time dependent problems

• Qualitative inversion methods for multi-frequency data
• Optimization methods with time dependent data

Diffusion MRI

• Numerical simulation, analytical models and inverse problems for diffusion MRI signals
• Applications: inferring biological tissue properties, clinical diagnosis