Diffusion and Laplacian Transport for Absorbing Domains
Résumé
We study (stationary) Laplacian transport by the Dirichlet-to-Neumann formalism. Our results concerns a \textit{formal} solution of the \textit{geometrical} inverse problem for localisation and reconstruction of the form of absorbing domains. Here we restrict our analysis to the one- and two-dimension cases. We show that the last case can be studied by the conformal mapping technique. To illustrate it we scrutinize a constant boundary conditions and analyse a numeric example.
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