This paper combines the numerical mode-matching (NMM) method with the element-free Galerkin (EFG) method for the efficient modeling of electromagnetic waves in cylindrically layered media with multiple horizontal beds. In the implementation of the conventional NMM scheme, finite element method (FEM) is commonly used to discretize the radial direction. To improve the efficiency for the discretization along the radial direction, EFG method is utilized instead to construct the element-free Galerkin NMM (EFG-NMM) scheme. As a meshless method, EFG scheme avoids the complexity of mesh generation as well as improves the numerical accuracy compared to FEM. The EFG-NMM scheme is developed for both static and time-harmonic electromagnetic waves. Excellent agreement between EFG-NMM and FEM-NMM is verified by simulating different numerical examples.

中文翻译：

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正交平面圆柱层状介质中静态和时谐电磁场的无元伽辽金数值模式匹配方法

本文将数值模式匹配 (NMM) 方法与无元素伽辽金 (EFG) 方法相结合，对具有多个水平层的圆柱形层状介质中的电磁波进行有效建模。在常规 NMM 方案的实现中，通常使用有限元法 (FEM) 来离散径向方向。为了提高沿径向离散化的效率，使用EFG方法来构建无单元Galerkin NMM（EFG-NMM）方案。作为一种无网格方法，EFG 方案避免了网格生成的复杂性，并且与 FEM 相比提高了数值精度。EFG-NMM 方案是为静态和时谐电磁波开发的。通过模拟不同的数值例子，验证了 EFG-NMM 和 FEM-NMM 之间的良好一致性。