The Joy of Computing with Volume Integrals: Foundations for Nondestructive Evaluation of Planar Layered Media
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The Joy of Computing with Volume Integrals: Foundations for Nondestructive Evaluation of Planar Layered MediaAbstract
As an alternative to the finitedifference time-domain (FDTD), the finiteelement method (FEM), and the method of moments (MoM) based on the surface integral equation (SIE), a volume-integral equation (VIE) approach using the method of moments and conjugate-gradient methods is presented to address a wide variety of complex problems in computational electromagnetics. A formulation of the volume integral method is presented to efficiently address inhomogeneous regions in multi-layered media. Since volume element discretization is limited to local inhomogeneous regions, numerical solutions for many complex problems can be achieved more efficiently than FDTD, FEM, and MoM/SIE. This is the first of a series of papers dealing with volume-integral equations; in subsequent papers of this series we will apply volume-integrals to problems in the field on nondestructive evaluation.
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