Reconstruction of an elliptical inclusion in the inverse conductivity problem

Reconstruction of an elliptical inclusion in the inverse conductivity problem •A numerical investigation into the open problem of the unique reconstruction of an elliptical inclusion from a single set of boundary potential and current flux data reveal that the conjecture seems to be true. •The investigation is based on the meshless method of fundamental solutions which approximates a single-layer boundary integral representation of a harmonic function in which the given boundary values and the sought solution are defined on different curves. •The resulting nonlinear minimization problem is solved using the MATLAB toolbox routine lsqnonlin. •The extension of the proposed technique for the reconstruction of two ellipses is also considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Mechanical Sciences Elsevier

Reconstruction of an elliptical inclusion in the inverse conductivity problem

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Publisher
Elsevier
Copyright
Copyright © 2018 Elsevier Ltd
ISSN
0020-7403
eISSN
1879-2162
D.O.I.
10.1016/j.ijmecsci.2018.05.002
Publisher site
See Article on Publisher Site

Abstract

•A numerical investigation into the open problem of the unique reconstruction of an elliptical inclusion from a single set of boundary potential and current flux data reveal that the conjecture seems to be true. •The investigation is based on the meshless method of fundamental solutions which approximates a single-layer boundary integral representation of a harmonic function in which the given boundary values and the sought solution are defined on different curves. •The resulting nonlinear minimization problem is solved using the MATLAB toolbox routine lsqnonlin. •The extension of the proposed technique for the reconstruction of two ellipses is also considered.

Journal

International Journal of Mechanical SciencesElsevier

Published: Jul 1, 2018

References

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