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math.NA2025
Optimal-Transport Stability of Inverse Point-Source Problems for Elliptic and Parabolic Equations
Lingyun Qiu, Shenwen Yu
We establish quantitative global stability estimates, formulated in terms of optimal transport (OT) cost, for inverse point-source problems governed by elliptic and parabolic equat…
math.NA2025
An Acoustic Inversion-Based Flow Measurement Model in 3D Hydrodynamic Systems
Jiwei Li, Lingyun Qiu, Zhongjing Wang +1
This study extends the flow measurement method initially proposed in [22] to three-dimensional scenarios, addressing the growing need for accurate and efficient non-contact flow me…
math.NA2025
Sediment Concentration Estimation via Multiscale Inverse Problem and Stochastic Homogenization
Jiwei Li, Lingyun Qiu, Zhongjing Wang +2
We develop a multiscale framework for estimating sediment concentration in water flow from acoustic wave measurements. At the microscopic scale, the sediment distribution is modele…