English

Acousto-electric Inverse Source Problem

Analysis of PDEs 2021-03-23 v1 Mathematical Physics math.MP

Abstract

We propose a method to reconstruct the electrical current density inside a conducting medium from acoustically-modulated boundary measurements of the electric potential. We show that the current can be uniquely reconstructed with Lipschitz stability. We also perform numerical simulations to illustrate the analytical results, and explore the partial data setting when measurements are taken only on part of the boundary.

Keywords

Cite

@article{arxiv.2103.11281,
  title  = {Acousto-electric Inverse Source Problem},
  author = {Wei Li and John C. Schotland and Yang Yang and Yimin Zhong},
  journal= {arXiv preprint arXiv:2103.11281},
  year   = {2021}
}
R2 v1 2026-06-24T00:23:18.594Z