Recovering Current Density From Data On
Electric Potential
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
Related Book
Other papers in this volume
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