4 papers
Automatic differentiation as an effective tool in Electrical Impedance Tomography
Ivan Pombo, Luis Sarmento
Determining physical properties inside an object without access to direct measurements of target regions can be formulated as a specific type of \textit{inverse problem}. One of su…
Uniqueness of the inverse conductivity problem once-differentiable complex conductivities in three dimensions
Ivan Pombo
We prove uniqueness of the inverse conductivity problem in three dimensions for complex conductivities in . We apply quaternionic analysis to transform the inverse pr…
Reconstructions from boundary measurements: complex conductivities
Ivan Pombo
In this paper we show that following Nachman's method we can still reconstruct complex conductivities in from its Dirichlet-to-Neumann map in three and higher dimensions.…
CGO-Faddeev approach for Complex Conductivities with Regular Jumps
Ivan Pombo
Researchers familiar with the state of the art are aware that the development of close-formed solutions for the EIT problem was not able to overpass the case of once-time different…