Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
An Identification Method of Point Sources for Three-dimensional Helmholtz Equation using Weighted Integral
Hirokazu InuiKohzaburo Ohnaka
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2004 Volume 14 Issue 3 Pages 179-192

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Abstract
In this paper, we discuss an inverse source problem for three-dimensional Helmholtz equation. The source term is assumed as several point sources. We propose an identification method of point sources for this inverse source problem based on weighted integral formulation. Our method does not need a priori information of the locations, magnitudes, and number of point sources. We also give practical estimates for errors of identified locations and magnitudes. The effectiveness of the method is shown by numerical examples.
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© 2004 The Japan Society for Industrial and Applied Mathematics
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