Electromagnetic wave propagation analysis by an explicit adaptive technique based on connected space-time discretizations

In this work, a new explicit time marching technique is considered to analyse 2D electromagnetic wave propagation problems. The technique considers adaptive time integrators, which are spatially and temporally locally computed, providing a connection between the adopted spatial and temporal discretizations. This approach allows the errors produced by both discretization procedures to be counterbalanced, enabling more accurate analyses. A multi time-steps methodology is also considered here, associated to subcycling techniques, enhancing the efficiency and the adaptive features of the method. As it is described along the paper, the new technique is very effective, robust and simple to implement, providing a very suitable numerical approach to analyse complex wave propagation models.