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math.AP2026
Inverse Obstacle Scattering from Multi-Frequency Near-Field Backscattering Data
Jialei Li, Xiaodong Liu
This paper addresses the inverse obstacle scattering problem of simultaneously reconstructing the obstacle geometry and boundary conditions from multi-frequency near-field backscat…
math.AP2025
Identifying point sources for biharmonic wave equation from the scattered fields at sparse sensors
Xiaodong Liu, Qingxiang Shi, Jing Wang
This work is dedicated to uniqueness and numerical algorithms for determining the point sources of the biharmonic wave equation using scattered fields at sparse sensors. We first s…
math.AP2024
Uniqueness and modified Newton method for cracks from the far field patterns with a fixed incident direction
Jialei Li, Xiaodong Liu
We consider the inverse cracks scattering problems from the far field patterns with a fixed incident direction. We firstly show that the sound-soft cracks can be uniquely determine…