4 papers
Direct Sampling Methods for Inverse Interface Problems
Kazufumi Ito, Tong Wu, Jun Zou
This work investigates two types of inverse interface problems in scenarios where only very limited Cauchy data is available. These problems are associated with the Laplace equatio…
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…
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…
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…