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 $\Gamma$, the Dirichlet-to-Neumann operator (DtN-map) ${\Lambda }_g:C^{\infty }(\Gamma )\to C^{\infty }(\Gamma )$ is defined by $Λ_gf=\left.\frac{\…