3 papers
math-ph2026
A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields
Xiaodong Liu, Jing Wang
We propose a novel indicator function for reconstructing acoustic sources from multi-frequency near-field measurements. The theoretical basis is established by a formula relating t…
math-ph2025
The Radon Transform-Based Sampling Methods for Biharmonic Sources from the Scattered Fields
Xiaodong Liu, Qingxiang Shi, Jing Wang
This paper presents three quantitative sampling methods for reconstructing extended sources of the biharmonic wave equation using scattered field data. The first method employs an…
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…