基于导数的optimization在二维半解析波导模型中的缺陷重构
Defect reconstruction in a 2D semi-analytical waveguide model via derivative-based optimization
摘要：
本文考虑了在无损超声检测过程中使用基于导数的优化方法重建二维波导中的缺陷。机械波的传播模拟的比例边界有限元法（SBFEM），建立在一个半解析方法。然后将模拟数据拟合到描述待重建的缺陷的反射的给定数据集。为此，我们应用迭代正则化高斯-牛顿方法结合算法微分，以提供所需的衍生信息准确，有效地。我们提出了三种不同类型的缺陷，即裂纹，脱层和腐蚀的数值结果。这些例子表明，参数化的缺陷，可以有效地重建和鲁棒性的存在噪声。
英文摘要：
This paper considers the reconstruction of a defect in a two-dimensional waveguide during non-destructive ultrasonic inspection using a derivative-based optimization approach. The propagation of the mechanical waves is simulated by the Scaled Boundary Finite Element Method (SBFEM) that builds on a semi-analytical approach. The simulated data is then fitted to a given set of data describing the reflection of a defect to be reconstructed. For this purpose, we apply an iteratively regularized Gauss-Newton method in combination with algorithmic differentiation to provide the required derivative information accurately and efficiently. We present numerical results for three different kinds of defects, namely a crack, a delamination, and a corrosion. These examples show that the parameterization of the defect can be reconstructed efficiently and robustly in the presence of noise.
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