A Moving Pseudo-Boundary MFS for Three-Dimensional Void Detection

Author:

Karageorghis Andreas,Lesnic Daniel,Marin Liviu

Abstract

AbstractWe 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.

Publisher

Global Science Press

Subject

Applied Mathematics,Mechanical Engineering

Reference9 articles.

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1. An efficient moving pseudo-boundary MFS for void detection;Engineering Analysis with Boundary Elements;2023-02

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4. Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems;Engineering Analysis with Boundary Elements;2019-06

5. Reconstruction of a volumetric source domain;Journal of Computational Methods in Sciences and Engineering;2019-05-05

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