Numerical Reconstruction of Permeability Material Using 3-D T -Ω Formulation of Finite Element Method
نویسندگان
چکیده
Three-Dimensional electromagnetic numerical modelling is used in inversion problems, commonly for determining the distribution of electrical parameters such as conductivity or permeability. This type of problems is a non-linear and ill-conditioned problem needs two phase resolutions: the forward and the inverse phase. In this paper we describe a numerical approach to image the electrical permeability distribution within a given object from a non-destructive evaluation signal. We have solved the forward solution using a three-Dimensional T -Ω formulation of Finite Element Method in order to determine the magnetic field and a classical Gauss-Newton algorithm with regularization to solve and stabilize the solution of the optimisation problem. The permeability of the object is assumed to be linear and isotropic. Results for the permeability imaging have been reconstructed using synthetically generated data.
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