Recovering Current Density From Data On Electric Potential
Price
Free (open access)
Transaction
Volume
65
Pages
12
Page Range
173 - 184
Published
2009
Size
365 kb
Paper DOI
10.2495/ECOR090171
Copyright
WIT Press
Author(s)
J. Irša, A. N. Galybin & A. Peratta
Abstract
In this paper, an inverse problem for galvanic corrosion in two-dimensional Laplace’s equation was studied. The considered problem deals with experimental measurements on electric potential, where due to lack of data, numerical integration is impossible. The problem is reduced to the determination of unknown complex coefficients of approximating functions, which are related to the known potential and unknown current density. By employing continuity of those functions along subdomain interfaces and using condition equations for known data leads to over-determined system of linear algebraic equations which are subjected to experimental errors. Reconstruction of current density is unique. The reconstruction contains one free additive parameter which does not affect current density. The method is useful in situations where limited data on electric potential are provided. Keywords: current density, potential measurements, reconstruction, complex variables.
Keywords
current density, potential measurements, reconstruction, complex variables