Abstract:The employment of topological derivative concept is considered to propose a new optimization algorithm for the inverse conductivity problem. Since this inverse problem is nonlinear and ill-posed it is necessary to incorporate a prior knowledge about the unknown conductivity. In particular, we apply the Bayes theorem to add the assumption that we have just one small ballshaped inclusion, which must be at a certain distance from the boundary of the domain. As the main emphasis of this paper is to investigate num… Show more
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