论文标题
线性弹性中的形状重建：标准和线性单调方法
Shape Reconstruction in Linear Elasticity: Standard and Linearized Monotonicity Method
论文作者
论文摘要
在本文中，我们处理弹性体内包裹体形状重建的反面问题。这种重建的主要思想是基于诺伊曼到迪里奇运算符的单调性属性，该属性是在以前的作者文章中提出的。因此，我们介绍了所谓的标准和线性化单调测试，以检测和重建夹杂物。此外，我们将这些方法彼此比较，并提供了几个数值测试示例。
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.
