In this paper, we deal with the inverse problem of the shape reconstruction of inclusions in elastic bodies. The main idea of this reconstruction is based on the monotonicity property of the Neumann-to-Dirichlet operator presented in a former article of the authors. Thus, we introduce the so-called standard as well as linearized monotonicity tests in order to detect and reconstruct inclusions. In addition, we compare these methods with each other and present several numerical test examples.

中文翻译：

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线性弹性中的形状重建：标准和线性化单调性方法

在本文中，我们处理弹性体中夹杂物形状重建的逆问题。这种重构的主要思想是基于作者以前的文章中提出的 Neumann-to-Dirichlet 算子的单调性。因此，我们引入了所谓的标准以及线性化单调性测试，以检测和重建夹杂物。此外，我们将这些方法相互比较，并提供了几个数值测试示例。