频率测深和电法勘探Slichter-Langer-Tikhonov问题的全局收敛算法
A globally convergent algorithm for the frequency sounding and Slichter-Langer-Tikhonov problem of electrical prospecting
摘要：
本文提出了一种求解系数反问题的全局收敛算法。基于全局收敛的数值方法（SIAM J. Sci.计算：31，No.1（2008），pp. 478-509），它有两个显著的特点：新的迭代和精化过程。这些新颖性增强，有时显着，空间和对比度分辨率。所提出的技术的计算有效性证明了在数值实验中的两个应用系数反问题：电磁或音频测深和层状介质的电勘探。利用Slichter-Langer-Tikhonov公式作为后者的数学模型。
英文摘要：
The paper presents a globally convergent algorithm for solving coefficient inverse problems. Being rooted in the globally convergent numerical method (SIAM J. Sci. Comput., 31, No.1 (2008), pp. 478-509) for solving multidimensional coefficient inverse problems, it has two distinctive features: the new iterative and refinement procedures. These novelties enhance, sometimes significantly, both the spatial and contrast resolutions. The computational effectiveness of the proposed technique is demonstrated in numerical experiments with two applied coefficient inverse problems: electromagnetic or acoustic frequency sounding and electrical prospecting of layered media. The Slichter-Langer-Tikhonov formulation is exploited as a mathematical model of the latter.
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