Thomas Frachon: A hybridizable discontinuous Galerkin method for the resolution of the time-harmonic Maxwell's equations

This presentation is concerned with the development of a hybridizable discontinuous Galerkin (HDG) method for the resolution of the three-dimensional time-harmonic Maxwell equations. The proposed HDG method relies on an arbitrary high order nodal interpolation of the electromagnetic field components and is formulated on a hexahedral/tetrahedral mesh. In the HDG method, an additional hybrid variable is introduced on the faces of the elements, on which the element-wise (local) solutions can be defined. The main feature of this hybridization procedure is that it reduces the globally coupled unknown. The presented numerical results show the effectiveness of the proposed HDG method.