求解各向异性介质识别问题的数值拟共形映射方法的空间模拟

M. Boichura, O. Michuta, A. Bomba
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引用次数: 1

摘要

将基于数值复变分析方法的应用准势层析数据梯度问题的求解方法推广到各向异性介质的情况。这里,电导率张量的本征方向分布被认为是先验已知的。我们提出用准速度势与空间准复共轭流函数有关的偏导数微分方程所构造的残差平方和的最小化泛函的方法来确定相应准理想流的参数
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Spatial Analogues of Numerical Quasiconformal Mapping Methods for Solving Identification Problems in Anisotropic Media
The approach to solving the gradient problems of image reconstruction of spatial bodies using applied quasipotential tomographic data that is based on numerical complex analysis methods is extended to cases of anisotropic media. Here the distribution of eigen-directions of the conductivity tensor is considered a priori known. We propose to identify the parameters of the corresponding quasiideal stream by the way of minimizing the functional of the sum of squares of residuals which constructed using differential equations in partial derivatives that relate the quasipotential of velocity and the spatially quasicomplex conjugated stream functions
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