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math.NA2023
A data-assisted two-stage method for the inverse random source problem
Peijun Li, Ying Liang, Yuliang Wang
We propose a data-assisted two-stage method for solving an inverse random source problem of the Helmholtz equation. In the first stage, the regularized Kaczmarz method is employed…
math.NA2022
Least-Squares Method for Inverse Medium Problems
Kazufumi Ito, Ying Liang, Jun Zou
We present a two-stage least-squares method to inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is a…