Domain Decomposition Methods (DDM) have been widely used in the Computational Electromagnetics (CEM) community in the last years to tackle large-scale problems with Finite Element Methods (FEM). Non-conformal DDM is more flexible (e.g., independently created meshes for different parts of the problem under analysis are supported) but may introduce an approximation error. In this communication, a thorough study of the accuracy of the solutions when using non-conformal DDM is presented. Three experiments are realized showing the verification of the implementation and that the accuracy is acceptable with different numbers of discontinuities in the propagation direction and various aspect ratios of the mesh on the interface. The numerical results use three different shapes (tetrahedra, prisms, and hexahedra) and up to order three in the basis functions that approximate the field. These studies are relevant for the introduction of non-conformal DDM with real problems or scalable (in the parallel sense) implementation of adaptive mesh techniques.

过去几年，领域分解方法（DDM）在计算电磁学（CEM）社区中得到了广泛使用，以解决有限元方法（FEM）带来的大规模问题。非保形DDM更灵活（例如，支持针对所分析问题的不同部分独立创建的网格），但可能会引入近似误差。在此交流中，对使用非保形DDM时解决方案的准确性进行了深入研究。实现了三个实验，这些实验显示了实现的验证，并且在传播方向上具有不同数量的不连续点以及界面上网格的各种长宽比方面，其准确性是可以接受的。数值结果使用三种不同的形状（四面体，棱柱，和六面体）以及在近似于该场的基函数中最多三阶。这些研究与引入具有实际问题的非保形DDM或自适应网格技术的可扩展（并行意义上）实现有关。