A Real Coded Genetic Algorithm Approach for Detection of Subsurface Isotropic and Anisotropic Inclusions

Authors: Mera N.S.¹; Elliott L.²; Ingham D.B.²

Source: Inverse Problems in Engineering, Volume 11, Number 2, 2003 , pp. 157-173(17)

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Abstract:

An inverse problem is considered to identify the geometry of discontinuities in a conductive material with anisotropic conductivity from Cauchy data measurements taken on the boundary. In this study we propose a real coded genetic algorithm in conjunction with a boundary element method to detect an anisotropic inclusion, such as a circle, by a single boundary measurement. Numerical results are presented for both isotropic and anisotropic inclusions. The genetic algorithms based method developed in this article is found to be a robust, efficient method for detecting the size and location of subsurface inclusions.

Keywords: Genetic algorithms; Inclusion detection; Inverse geometric problems

Document Type: Research article

Affiliations: 1: Centre for Computational Fluid Dynamics, University of Leeds, Leeds, LS2 9JT, United Kingdom 2: Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom

Publication date: 2003-01-01