论文标题
声学逆边界值问题的非涉及重建算法
A Non-Iterative Reconstruction Algorithm for the Acoustic Inverse Boundary Value Problem
论文作者
论文摘要
我们提出了一种非涉案算法，可根据Neumann到Dirichlet图的测量来重建各向同性声波速度。该算法是基于边界控制方法设计的，仅涉及稳定的计算。我们证明了该算法的收敛性并提出了其数值实现。该算法的有效性在恒定速度和可变速度上均得到验证，并具有完整和部分边界测量以及不同级别的噪声。
We present a non-iterative algorithm to reconstruct the isotropic acoustic wave speed from the measurement of the Neumann-to-Dirichlet map. The algorithm is designed based on the boundary control method and involves only computations that are stable. We prove the convergence of the algorithm and present its numerical implementation. The effectiveness of the algorithm is validated on both constant speed and variable speed, with full and partial boundary measurement as well as different levels of noise.
