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math.NA2023
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…
math.AP2023
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…