DIFFUSION AND LAPLACIAN TRANSPORT FOR ABSORBING DOMAINS
Аннотация:
We study (stationary) Laplacian transport by the Dirichlet-to-Neumann formalism. Our results con- cern a formal solution of the geometrically inverse problem for localisation and reconstruction of the form of absorbing domains. Here, we restrict our analysis to the one- and two-dimensional cases. We show that the last case can be studied by the conformal mapping technique. To illustrate this, we scrutinize the constant boundary conditions and analyze a numeric example.
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