Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707744 | Applied Mathematics Letters | 2015 | 6 Pages |
Abstract
In this paper we consider systems of transport and diffusion problems on one-dimensional domains coupled through transmission type boundary conditions at the endpoints and determine what types of such problems can be identified with respective problems on metric graphs. For the transport problem the answer is provided by a reformulation of a graph theoretic result characterizing line digraphs of a digraph, whereas in the case of diffusion the answer is provided by an algebraic characterization of matrices which are adjacency matrices of line graphs, which complements known results from graph theory and is particularly suitable for this application.
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
J. Banasiak, A. Falkiewicz,