A moving pseudo-boundary MFS for three-dimensional void detection
Date
2013ISSN
2070-0733Source
Advances in Applied Mathematics and MechanicsVolume
5Issue
4Pages
510-527Google Scholar check
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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 leastsquares minimization. The feasibility of this new method is illustrated in several numerical examples. © 2013 Global Science Press.