In this article, a methodology to incorporate non-conforming interfaces between several conforming mesh regions is presented for Maxwell’s curl–curl problem. The derivation starts from a general interior penalty discontinuous Galerkin formulation of the curl–curl problem and eliminates all interior jumps in the conforming parts but retains them across non-conforming interfaces. Therefore, it is possible to think of this Nitsche approach for interfaces as a specialization of discontinuous Galerkin on meshes, which are conforming nearly everywhere. The applicability of this approach is demonstrated in two numerical examples, including parameter jumps at the interface. A convergence study is performed for h-refinement, including the investigation of the penalization- (Nitsche-) parameter.

中文翻译：

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curl-curl 类型问题中边缘元素的非一致性 Nitsche 接口

在本文中，针对 Maxwell 的卷曲-卷曲问题，提出了一种在多个符合网格区域之间合并非符合界面的方法。推导从卷曲-卷曲问题的一般内部惩罚不连续伽辽金公式开始，并消除了符合部分中的所有内部跳跃，但在不符合的界面上保留它们。因此，可以将这种用于接口的 Nitsche 方法视为网格上不连续 Galerkin 的特化，它们几乎无处不在。这种方法的适用性在两个数值例子中得到了证明，包括界面处的参数跳转。对 h 细化进行了收敛研究，包括对惩罚（Nitsche）参数的研究。