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The Joy of Computing with Volume Integrals: Foundations for Nondestructive Evaluation of Planar Layered Media

机译:体积积分计算的乐趣:平面分层介质的无损评估基础

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摘要

As an alternative to the finite-difference time-domain (FDTD), the finite-element 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.
机译:有限元法(FEM)和基于表面积分方程(SIE),体积积分方程(VIE)的矩量法(MoM)替代了有限差分时域(FDTD)提出了使用矩量法和共轭梯度法的方法,以解决计算电磁学中的各种复杂问题。提出了体积积分法的公式化,以有效解决多层介质中的不均匀区域。由于体元离散化仅限于局部不均匀区域,因此与FDTD,FEM和MoM / SIE相比,可以更有效地实现许多复杂问题的数值解。这是有关体积积分方程的系列文章中的第一篇。在本系列的后续文章中,我们将体积积分应用于无损评估领域中的问题。

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