@Article{AAMM-5-4,
author = {Karageorghis, Andreas and Lesnic, Daniel and Marin, Liviu},
title = {A Moving Pseudo-Boundary MFS for Three-Dimensional Void Detection},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {4},
pages = {510--527},
abstract = {<p style="text-align: justify;">We propose a new moving pseudo-boundary method of
fundamental solutions (MFS) for the determination of the boundary of
a three-dimensional void (rigid inclusion or cavity) within a conducting
homogeneous host medium from overdetermined Cauchy data on the accessible exterior boundary.
The algorithm for imaging the interior of the medium also makes use of radial spherical parametrization
of the unknown star-shaped void and its centre in three dimensions. We also include the contraction and
dilation factors in selecting the fictitious surfaces where the MFS sources are to be positioned in the set of
unknowns in the resulting regularized nonlinear least-squares minimization.
The feasibility of this new method is illustrated in several numerical examples.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.13-13S07},
url = {https://global-sci.com/article/73504/a-moving-pseudo-boundary-mfs-for-three-dimensional-void-detection}
}