Benchmark computations for Maxwell equations for the approximation of highly singular solutions. The aim of this benchmark is to provide Maxwell problems whose solution has a strong unbounded singularity. Most of these problems can be solved alternatively by a scalar boundary value problem providing a potential for the Maxwell solution, which results into a more accurate approximation of the Maxwell solution. This fact allows us to provide reference solutions to which we will compare the results obtained by different Maxwell codes based on various methods.

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  1. Talischi, Cameron: A family of $H(\mathrmdiv)$ finite element approximations on polygonal meshes (2015)