English

Simplified reconstruction of layered materials in EIT

Analysis of PDEs 2022-08-24 v2

Abstract

This short note considerably simplifies a reconstruction method by the author (Comm. PDE, 45(9):1118--1133, 2020), for reconstructing piecewise constant layered conductivities (PCLC) from partial boundary measurements in electrical impedance tomography. Theory from monotonicity-based reconstruction of extreme inclusions eliminates most of the bookkeeping related to multiple components of each layer, and also simplifies the involved test operators. Moreover, the method no longer requires a priori lower and upper bounds to the unknown conductivity values.

Keywords

Cite

@article{arxiv.2107.13622,
  title  = {Simplified reconstruction of layered materials in EIT},
  author = {Henrik Garde},
  journal= {arXiv preprint arXiv:2107.13622},
  year   = {2022}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-24T04:36:58.151Z