Abstract
We show that three sets of internal current densities are the right amount of data that give the existence and the uniqueness at the same time in reconstructing an anisotropic conductivity in two space dimensions. The curl free equation of Faraday’s law is taken instead of the usual divergence free equation of the electrical impedance tomography. Boundary conditions related to given current densities are introduced which complete a well determined problem for conductivity reconstruction together with Faraday’s law.
| Original language | English |
|---|---|
| Pages (from-to) | 441-462 |
| Number of pages | 22 |
| Journal | Inverse Problems and Imaging |
| Volume | 17 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 2023 |
Keywords
- Conductivity reconstruction
- anisotropic conductivity
- electrical impedance tomography
- hyperbolic system
- resistivity reconstruction