A shape identification problem in estimating simultaneously two interfacial configurations in a multiple region domain

A two-dimensional shape identification problem, i.e. inverse geometry problem, of estimating simultaneously two interfacial configurations in a multiple (three) region domain is solved in this study by using the Conjugate Gradient Method (CGM) and Boundary Element Method (BEM)-based inverse algorithm. Two over-utilized conditions should be applied in determining two gradient equations; this differs from our previous relevant studies. Numerical experiments using different measurement errors and number of sensors were performed to justify the validity of the conjugate gradient method in solving this shape identification problem. Finally it is concluded that the present algorithm can estimate the accurate interfacial configurations.