DGTD method for microwave propagation in dispersive media with applications to bioelectromagnetics

This study is concerned with the solution of the time domain Maxwell´s equations in a dispersive propagation media by a Discontinuous Galerkin Time Domain (DGTD) method. The Debye model is used to describe the dispersive behaviour of the media. The resulting system of equations is solved using a centered flux discontinuous Galerkin formulation for the discretization in space and a second order leap-frog scheme for the integration in time. The numerical treatment of the dispersive model relies on an Auxiliary Differential Equation (ADE) approach similar to what is adopted in the Finite Difference Time Domain (FDTD) method.