论文标题

用于微波成像中应用的自适应有限元/有限差域分解方法

An adaptive finite element/finite difference domain decomposition method for applications in microwave imaging

论文作者

Beilina, Larisa, Lindström, Eric

论文摘要

提出了用于导电介质中麦克斯韦方程的新域分解方法。使用此方法重建算法是开发用于使用电场的时间相关散射数据来确定介电介​​电常数的。所有重建算法均基于优化方法,以找到拉格朗日的固定点。还提出了自适应重建算法和空间网格改进指标。我们的计算测试显示了使用解剖学上逼真的乳房幻影对介电介电常数函数的定性重建。

A new domain decomposition method for Maxwell's equations in conductive media is presented. Using this method reconstruction algorithms are developed for determination of dielectric permittivity function using time-dependent scattered data of electric field. All reconstruction algorithms are based on optimization approach to find stationary point of the Lagrangian. Adaptive reconstruction algorithms and space mesh refinement indicators are also presented. Our computational tests show qualitative reconstruction of dielectric permittivity function using anatomically realistic breast phantom.

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