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math.NA2025
An Iterative Direct Sampling Method for Reconstructing Moving Inhomogeneities in Parabolic Problems
Bangti Jin, Fengru Wang, Jun Zou
We propose in this work a novel iterative direct sampling method for imaging moving inhomogeneities in parabolic problems using boundary measurements. It can efficiently identify t…
math.NA2025
A Stable Iterative Direct Sampling Method for Elliptic Inverse Problems with Partial Cauchy Data
Bangti Jin, Fengru Wang, Jun Zou
We develop a novel iterative direct sampling method (IDSM) for solving linear or nonlinear elliptic inverse problems with partial Cauchy data. It integrates three innovations: a da…
math.NA2025
Iterative Direct Sampling Method for Elliptic Inverse Problems with Limited Cauchy Data
Kazufumi Ito, Bangti Jin, Fengru Wang +1
In this work, we propose an innovative iterative direct sampling method to solve nonlinear elliptic inverse problems from a limited number of pairs of Cauchy data. It extends the o…