Abstract
An inverse problem is considered to identify the geometry of discontinuities in a conductive material Ω ⊂ R2 with anisotropic conductivity (I+(K-I) χD) from Cauchy data measurements taken on the boundary ∂Ω, where D ⊂ Ω , whereby, K is known, symmetric, and positive definite tensor not equal to the identity tensor and χD is the characteristic constant of the domain D. In this chapter, a real coded genetic algorithm in conjunction with a boundary element method to detect the size and location of a cavity, or an isotropic or anisotropic inclusion, D by a single boundary measurement is proposed. The genetic algorithms based method developed in this chapter is a robust and efficient method for detecting the size and location of subsurface discontinuities.
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