3 papers
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.NA2024
An inverse obstacle scattering problem with passive data in the time domain
Xiaoli Liu, Shixu Meng, Jialu Tian +1
This work considers a time domain inverse acoustic obstacle scattering problem due to passive data. Motivated by the Helmholtz-Kirchhoff identity in the frequency domain, we propos…
math.NA2024
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…