# Revisiting Calderon's Problem

arXiv: https://arxiv.org/abs/1912.02970 · HTML: https://mlsanity.com/paper/1912.02970/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 6 Dec 2019.

## Built on by (most cited first, 1 of 1)

- [Hybrid FEM-NN models: Combining artificial neural networks with the finite element method](https://mlsanity.com/paper/2101.00962/) (2021)

## Abstract (arXiv)

A finite element code for heat conduction, together with an adjoint solver and a suite of optimization tools was applied for the solution of Calderon's problem. One of the questions whose answer was sought was whether the solution to these problems is unique and obtainable. The results to date show that while the optimization procedure is able to obtain spatial distributions of the conductivity k that reduce the cost function significantly, the resulting conductivity k is still significantly different from the target distribution sought. While the normal fluxes recovered are very close to the prescribed ones, the tangential fluxes can differ considerably.