Kriging for Eddy-Current Testing Problems
Kriging for Eddy-Current Testing Problems
复制标题
涡流测试问题的克里金法
DOI：
10.1109/tmag.2010.2043418
复制
发表时间：
2010
影响因子：
2.1
通讯作者：
M. Lambert
中科院分区：
文献类型：
--
作者：
S. Bilicz;E. Vázquez;S. Gyimóthy;J. Pávó;M. Lambert
涡流检测（ECT）实验的精确数值模拟通常需要大量的计算工作。因此，一个自然的想法是建立一个廉价的近似昂贵的运行模拟器。本文提出了一种基于函数克里金的近似方法。克里格法被广泛用于其他领域，但在ECT社区中仍然没有使用。其主要思想是建立一个模拟器的随机过程模型。将克里金法扩展到函数输出数据的情况（这是ECT中的典型情况）是数学的最新发展。本文介绍了功能克里金法，并说明了其性能通过数值例子使用ECT模拟器的基础上的表面积分方法。与其他经典的数据插值方法进行了比较。
Accurate numerical simulation of Eddy-Current Testing (ECT) experiments usually requires large computational efforts. So, a natural idea is to build a cheap approximation of the expensive-to-run simulator. This paper presents an approximation method based on functional kriging. Kriging is widely used in other domains, but is still unused in the ECT community. Its main idea is to build a random process model of the simulator. The extension of kriging to the case of functional output data (which is the typical case in ECT) is a recent development of mathematics. The paper introduces functional kriging and illustrates its performance via numerical examples using an ECT simulator based on a surface integral method. A comparison with other classical data interpolation methods is also carried out.