A virtual finite element method for two-dimensional Maxwell interface problems with a background unfitted mesh

A virtual element method (VEM) with the first-order optimal convergence order is developed for solving two-dimensional Maxwell interface problems on a special class of polygonal meshes that are cut by from background unfitted mesh. novel space introduced triangulation mesh satisfying maximum angle condition, which shares exactly same degrees freedom as usual [Formula: see text]-conforming space. This new serves key to prove error bounds VEM independent high aspect ratio possible anisotropic near interface.