Author(s)

N. S. Mera, L. Elliott & D. B. Ingham

Abstract

The detection of subsurface inclusions using internal measurements and genetic algorithms N. S. Meral, L. Elliott2 & D, B, Ingham2 Centre for Computational Fluid Dynamics, Energy and Resources Research Institute, University of Leeds, UK 2~epartment of Applied Mathematics, University of Leeds, UK 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 paper is found to be a robust, efficient method for detecting the size and location of subsurface inclusions. 1 Introduction We consider the inverse conductivity problem which requires the deter

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