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arXiv math-ph/0111015math-phcs.NAmath.MPmath.NA
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从部分边界上的边界测量恢复小的电磁不均匀性

Recovery of small electromagnetic inhomogeneities from boundary measurements on part of the boundary

H. Ammari, A. G. Ramm

AI总结:

研究利用部分边界测量数据,通过求解最小化问题构造背景解作为权重,基于平均化方法识别小介电不均匀性的位置和性质。

摘要:

研究了从部分边界上的边界测量中识别均匀背景介质中小介电不均匀性的位置和某些性质的反问题。通过求解最小化问题构造特定的背景解作为权重,开发了一种基于部分边界测量适当平均化的渐近(变分)方法。

英文摘要:

An inverse problem of identifying locations and certain properties of small dielectric inhomogeneities in a homogeneous background medium from boundary measurements on a part of the boundary is studied. Using as weights particular background solutions constructed by solving a minimization problem, an asymptotic (variational) method based on appropriate averaging of the partial boundary measurements is developed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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