Corrosion detection in a 2D domain with a polygonal boundary
Keywords
Code:
24/2008
Title:
Corrosion detection in a 2D domain with a polygonal boundary
Date:
Wednesday 19th November 2008
Author(s):
Bacchelli, Valeria; Veneziani, Alessandro; Vessella, Sergio
Download link:
Abstract:
We consider the problem of quantitative non-destructive evaluation
of corrosion in a 2D domain representing a thin metallic plate. Corro-
sion damage is assumed to occur in an inaccessible part of the domain.
Reconstruction of the damaged profile is possible by measuring an electro-
static current properly induced by a potential in an accessible part of the
boundary (electrical impedance tomography). We present here numerical
methods and results based on a formulation of the problem introduced
and analyzed in Bacchelli-Vessella, Inverse Problems, 22 (2006), where
the corroded profile is represented by a polygonal boundary. We resort
in particular to the Landweber method and the Brakhage semi-iterative
scheme. Numerical results show the reliability of this approach in general
situations, including nongraph corroded boundaries