Mathematical Review:MR1929286 (2003j:78017) Kress, Rainer; Kühn, Lars; Potthast, Roland Reconstruction of a current distribution from its magnetic field
G Crosta · BOA (University of Milano-Bicocca) · 2003
A stationary current flow, j, occurs inside a simply connected, bounded domain Ω⊂R^3. The field H is known on ∂G such that G⊃Ω. The reconstruction of j from H|∂G relies on the properties of the Biot-Savart integral operator W.