An Inversion Algorithm for Electromagnetic Nondestructive Evaluation

小行星9360217 电磁无损评价的核心是求解反问题的能力。 这些问题很难解决有两个原因：它们在数学上是病态的，并且它们是非线性的，这意味着它们涉及相当大的计算工作量，通常需要超级计算机的能力。 在这个建议中，我们描述了一个电磁（涡流）无损检测的反演算法，将运行在广泛的机器类，从个人电脑和工作站的迷你超级计算机和大型机器。 此外，我们期望改进的鲁棒性，这将减轻病态的影响。 该算法采用了集合论估计和鲁棒统计分析的现代数学思想。 我们在这个项目中开发的技术将适用于材料和结构的无损评估，电磁层析成像，计算机视觉和制造科学和技术。

9360217 Sabbagh The ability to solve inverse problems lies at the heart of electromagnetic nondestructive evaluation (NDE). These problems are difficult to solve for two reasons: they are mathematically ill-conditioned, and they are nonlinear, which means that they involve considerable computational effort, often requiring supercomputer capabilities. In this proposal, we describe an inversion algorithm for electromagnetic (eddy-current) NDE that will run on a wide class of machines, from personal computers and workstations to minisuper-computers and larger machines. Furthermore, we expect an improved robustness that will mitigate the effects of ill-conditioning. The algorithm employs modern mathematical ideas of set theoretic estimation and robust statistical analysis. The technology that we are developing in this project will be applicable to nondestructive evaluation of materials and structures, electromagnetic tomography, computer vision, and manufacturing science and technology.