We derive a linearized version of the monotonicity method for shape reconstruction using time harmonic elastic waves. The linearized method provides an efficient version of the method, drastically reducing computation time. Here we show that the linearized method has some additional advantages. The linearized method can in particular be used to obtain additional information on the material parameters, and is able to partially separate and identify the supports of the Lam\'e parameters.

翻译：我们推导了利用时谐弹性波进行形状重构的单调性方法的线性化版本。该线性化方法提供了原方法的高效实现，显著降低了计算时间。本文进一步证明线性化方法具有若干额外优势：特别地，该方法可用于获取材料参数的补充信息，并能够部分分离和识别拉梅参数的支持域。