论文标题
决议保证基于单调性方法重建线性弹性中的包含物
Resolution Guarantees for the Reconstruction of Inclusions in Linear Elasticity Based on Monotonicity Methods
论文作者
论文摘要
我们根据单调性方法和构建条件来处理弹性体内包含物的重建,在这些方法下可以实现给定分区的分辨率。这些条件考虑了背景误差以及测量噪声。作为主要结果,这表明我们的分辨率保证在很大程度上取决于Lamé参数$μ$,并且仅在$λ$上略有依赖。
We deal with the reconstruction of inclusions in elastic bodies based on monotonicity methods and construct conditions under which a resolution for a given partition can be achieved. These conditions take into account the background error as well as the measurement noise. As a main result, this shows us that the resolution guarantees depend heavily on the Lamé parameter $μ$ and only marginally on $λ$.