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Preprints, Working Papers, ... Year : 2011

Diffusion and Laplacian Transport for Absorbing Domains

Abstract

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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Dates and versions

hal-00619923 , version 1 (07-09-2011)
hal-00619923 , version 2 (07-09-2011)
hal-00619923 , version 3 (02-11-2011)

Identifiers

  • HAL Id : hal-00619923 , version 1

Cite

Ibrahim Baydoun, Valentin A. Zagrebnov. Diffusion and Laplacian Transport for Absorbing Domains. 2011. ⟨hal-00619923v1⟩
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