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Partial Differential Equations & Applied Math: "Current Density Imaging on Electrical Networks and Applications"

Christina Knox, UC Riverside

Wednesday, February 15, 2017
  1:10–2 p.m.

Location: Surge Building 268
  Parking Information

Category: Seminar


In this talk, we will investigate the problem of recovering the conductivity of an electrical network from the knowledge of the magnitude of the current along the edges and either the knowledge of the voltage on the boundary of the network or the current flowing in or out of the network. We will discuss how this problem corresponds to finding the minimizers of a l^1 minimization problem. I will also talk about the dual of this minimization problem which provides valuable information about the minimizers. We will also present a numerical algorithm that finds solutions to both the dual and primal problem. I will also discuss the applications of the results to random walks on graphs.

Additional Information: PDE&AM

Open to: General Public
Admission: Free
Sponsor: Mathematics

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