3 papers
math.AP2026
Characterizing nonlinear information in the linear sampling method for inverse medium scattering
Lorenzo Audibert, Shixu Meng
This work is concerned with the nonlinear information in the linear sampling method for the inverse medium scattering problem. In addition to the well-known capability in shape cha…
math.NA2026
A theoretical and computational framework for three dimensional inverse medium scattering using the linearized low-rank structure
Yuyuan Zhou, Lorenzo Audibert, Shixu Meng +1
In this work we propose a theoretical and computational framework for solving the three dimensional inverse medium scattering problem, based on a set of data-driven basis arising f…
math.NA2025
Exploring low-rank structure for an inverse scattering problem with far-field data
Yuyuan Zhou, Lorenzo Audibert, Shixu Meng +1
In this work, we introduce a novel low-rank structure tailored for solving the inverse scattering problem. The particular low-rank structure is given by the generalized prolate sph…