This contribution addresses the exploitation of mirror symmetry (formally, the abelian $D_{1}$ and $D_{2}$ dihedral symmetry groups) in various integral formulations for eddy current problems. The novelty of the contribution is in particular how to rigorously treat non-simply-connected conductors when computing the first cohomology group generators on the symmetry cell of the problem only.

中文翻译：

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涡流积分公式中的镜像对称性

此贡献解决了对镜像对称性的利用（以前是阿贝尔文 $ D_ {1} $ 和 $ D_ {2} $ 二面角对称组）来解决涡流问题。贡献的新颖性尤其在于，当仅在问题的对称单元上计算第一同调群发生器时，如何严格对待非简单连接的导体。