Abstract
“Spatial decomposition” is a generic term for the first step in transforming a functional equation into its discrete version prior to numerical computation. Umashankar [51] introduced the term “spatial decomposition technique” for a method of solving two-dimensional scattering problems from electrically large bodies using boundary-integral equations. As far as we know, we are the first to apply the “spatial decomposition algorithm” to the solution of three-dimensional scattering problems when the scatterer (the “flaw”) occupies several regions with different electrical properties using volume-integral equations.
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Notes
- 1.
Caius V. Dodd, Oak Ridge National Laboratory, private communication.
- 2.
NLSE, a nonlinear least-squares estimator, will be defined and described in Chap. 12. The material in this section can be deferred until after reading that chapter, or can simply be accepted on faith, “in anticipation.”
References
Sabbagh, H.A.: A model of eddy-current probes with ferrite cores. IEEE Trans. Magn. MAG-23(3), 1888–1904 (May 1987)
Umashankar, K.R., Nimmagadda, S., Taflove, A.: Numerical analysis of electromagnetic scattering by electrically large objects using spatial decomposition technique. IEEE Trans. Antenn. Propag. 40(8), 867–877 (August 1992)
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Sabbagh, H.A., Murphy, R.K., Sabbagh, E.H., Aldrin, J.C., Knopp, J.S. (2013). Some Special Topics in Computational Electromagnetics. In: Computational Electromagnetics and Model-Based Inversion. Scientific Computation. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8429-6_10
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