Element-free Galerkin numerical mode-matching method for static and time-harmonic electromagnetic fields in orthogonal-plano-cylindrically layered media

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.