Asymptotic and boundary integral formulae for the computational reconstruction of small conductivity imperfections |
| |
Authors: | Donna J. Cedio-Fengya |
| |
Affiliation: | (1) Department of Mathematics, William Paterson University, Wayne, NJ 07470, USA |
| |
Abstract: | In this paper we investigate the electrostatic problem of determining conductivity profiles from the knowledge of boundary currents and voltages. We obtain an improved estimate for the voltage potential of a two-dimensional conductor having finitely many circular inclusions and piecewise constant conductivity profile. We derive an asymptotic expansion for the voltage potential in terms of the reference voltage potential and the location, size, and conductivity of the inhomogeneities. This representation is used to formulate the nonlinear least squares problem for estimating the location and size of the inhomogeneities. Required boundary data for the voltage potential are generated numerically by solving a system of integral equations. Computational experiments are presented to demonstrate the effectiveness of our identification procedure. |
| |
Keywords: | 35R30 45Q05 65N21 |
本文献已被 SpringerLink 等数据库收录! |
|