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arXiv:1405.7489 [math.AP]AbstractReferencesReviewsResources

Numerical implementation for reconstruction of inhomogeneous conductivities via Generalized Polarization Tensors

Xiaoping Fang, Youjun Deng

Published 2014-05-29Version 1

This paper deals with numerical methods for reconstruction of inhomogeneous conductivities. We use the concept of Generalized Polarization Tensors, which were introduced in [3], to do reconstruction. Basic resolution and stability analysis are presented. Least square norm methods with respect to Generalized Polarization Tensors are used for reconstruction of conductivities. Finally, reconstruction of three different types of conductivities in the plane is demonstrated.

Comments: 23pages, 8 figures; 3 big figures are not listed due to size limits
Categories: math.AP
Subjects: 35R30, 35C20
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