Numerical implementation for reconstruction of inhomogeneous conductivities via Generalized Polarization Tensors
Analysis of PDEs
2015-10-28 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1405.7489,
title = {Numerical implementation for reconstruction of inhomogeneous conductivities via Generalized Polarization Tensors},
author = {Xiaoping Fang and Youjun Deng},
journal= {arXiv preprint arXiv:1405.7489},
year = {2015}
}
Comments
23pages, 8 figures; 3 big figures are not listed due to size limits