Let Ω ⊂ ℝn be given and suppose D ⊂ Ω is an unknown object with known constant conductivity k. We consider the inverse problem of determining the discontinuous conductivity coefficient 1 + (k - 1)χD from the measurements of the electric voltage induced by the electric current flux prescribed on Ω. We propose a general numerical algorithm for this problem and implement this algorithm to identify a disc by only one measurement.
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Signal Processing
- Mathematical Physics
- Computer Science Applications
- Applied Mathematics