ABSTRACT
Resolution of singularities for Maxwell equations is more challenging than for elliptic problems. In the case of reentrant corners and material interfaces, not only the gradient of the solution, but the solution itself becomes singular; see the fundamental work of Costabel and Dauge on the subject [55, 59]. The possibility of achieving exponential convergence using H1-conforming hp elements combined with the weighted regularization of Costabel and Dauge [56], has been proven in the recent contribution [57]; but, to my best knowledge, an analogous result for H(curl)-conforming elements remains to be shown. A mounting numerical evidence [190, 5, 143], including the example presented in this chapter, shows that this is possible.
