Numerical solution of the two-dimensional Calderon problem for domains close to a disk

Vladimir A. Sharafutdinov, Konstantin V. Storozhuk

For a compact Riemannian surface $(M,g)$ with non-empty boundary $\hat{I}“$, the Dirichlet-to-Neumann operator (DtN-map) $\hat{I}{›}_g:C^{\infty }(\hat{I}“)\to C^{\infty }(\hat{I}“)$ is defined by $Λ_gf=\left.\f…