An inverse problem, with boundary measurements for the steady state diffusion equation
Degree GrantorUniversity of Canterbury
Degree NameResearch report
The Newton-Kantorovich computational method is applied to the inverse problem of reconstructing a conductivity from given boundary measurements. The paper provides the theoretical analysis necessary to provide rigorous derivations of the Frechet differential. Linearisations of the non-linear problem are examined and a numerical procedure for reconstructing general conductivities suggested. This procedure is illustrated by reconstructing one-dimensional conductivities.
SubjectsField of Research::01 - Mathematical Sciences
- Engineering: Reports