We propose an automatic, solution based, localized meshing refinement for increasing the accuracy of integral-equation solution for multi-scale electromagnetic problems. The procedure starts with a local measure of the boundary condition error, via testing on zero-order basis functions defined on the finest level mesh. Then, the adaptive mesh refinement (h-refinement) is obtained by nonconformal submeshing with Discontinuous Galerkin formulation in order to achieve the desired accuracy. Numerical experiments show the effectiveness of the approach in the cases of cubic geometry and realistic multi-scale structures.

中文翻译：

---

曲面积分方程的自动局部非共形网格细化

我们提出了一种自动的、基于解决方案的、局部网格划分细化，以提高多尺度电磁问题积分方程解决方案的准确性。该过程从边界条件误差的局部测量开始，通过对定义在最精细级别网格上的零阶基函数进行测试。然后，自适应网格细化（h-细化）是通过使用不连续伽辽金公式的非共形子网格划分获得的，以达到所需的精度。数值实验证明了该方法在立方几何和现实多尺度结构的情况下的有效性。