Master Internship - Fixed Point Algorithms for Inverse Wave Problems

Contexte et atouts du poste

In the context of a collaboration between OPIS and IDEFIX Inria teams, the aim of this internship is to investigate the design and convergence analysis of fixed-point algorithms for the resolution of inverse problems involving PDEs.

Subject:
Inverse problems are central to many applications like medical imaging, geophysical inspection, and non-destructive testing, where the goal is to identify some parameters (such as physical properties or defect geometries) from given measurements. Unlike forward problems, which involve solving linear PDEs with a unique solution, inverse problems are often nonlinear and ill-posed. Commonly used inversion algorithms in engineering often rely on the linearization of the inverse problem, leading for example to methods like migration or time reversal for inverse wave problems. While these methods are fast and do not require iterative procedures, they suffer from biases due to linea...