ABSTRACT

We consider an interior inverse scattering problem of reconstructing the shape of an elastic cavity. We prove a reciprocity relation for the scattered elastic field and a uniqueness theorem for the inverse problem. Then we employ the decomposition method to determine the boundary of the cavity and present some convergence results. Numerical examples are provided to show the viability of the method.

中文翻译：

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弹性中的内部逆散射问题

摘要

我们考虑重建弹性腔形状的内部逆散射问题。我们证明了散射弹性场的互易关系和逆问题的唯一性定理。然后我们采用分解方法确定腔的边界并给出一些收敛结果。提供了数值示例以显示该方法的可行性。