The eddy current non-destructive evaluation (NDE) modelling using Stratton-Chu formulation-based fast algorithm is analysed. Stratton-Chu formulations, which have no low frequency breakdown issue, are selected for modelling electromagnetic NDE problems with low frequency and high conductivity approximations. As the main contribution of this article, the robustness and efficiency of the approximations, which result in big savings in both memory and CPU time, are validated and analysed using examples from practical EC testing. The boundary element method (BEM) is used to discretize the integral equations into a linear system of equations: the first order Rao-Wilton-Glisson (RWG) vector basis functions with the flat triangle meshes of the object and pulse basis functions are selected to expand the equivalent surface currents and the normal component of magnetic fields, respectively. Then the multilevel adaptive cross approximation (MLACA) algorithm is applied to accelerate the iterative solution process. The performance and efficiency of adaptively applying a multi-stage (level) algorithm based on the criteria concluded for the operators are shown. This article is part of the theme issue ‘Advanced electromagnetic non-destructive evaluation and smart monitoring’.

中文翻译：

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使用基于 Stratton-Chu 公式的快速算法分析电磁无损评估建模

分析了使用基于 Stratton-Chu 公式的快速算法的涡流无损评估 (NDE) 建模。没有低频击穿问题的 Stratton-Chu 公式被选择用于模拟具有低频和高电导率近似值的电磁 NDE 问题。作为本文的主要贡献，使用来自实际 EC 测试的示例验证和分析了近似的稳健性和效率，从而大大节省了内存和 CPU 时间。边界元法 (BEM) 用于将积分方程离散为线性方程组：选择具有物体平面三角形网格的一阶 Rao-Wilton-Glisson (RWG) 矢量基函数和脉冲基函数分别扩展等效表面电流和磁场的法向分量。然后应用多级自适应交叉逼近（MLACA）算法来加速迭代求解过程。显示了基于为运算符得出的标准自适应地应用多阶段（级别）算法的性能和效率。本文是主题问题“高级电磁无损评估与智能监测”的一部分。显示了基于为运算符得出的标准自适应应用多级（级别）算法的性能和效率。本文是主题问题“高级电磁无损评估与智能监测”的一部分。显示了基于为运算符得出的标准自适应应用多级（级别）算法的性能和效率。本文是主题问题“高级电磁无损评估与智能监测”的一部分。