Propagation over terrain and urban environment are studied using two-dimensional simulations of Maxwell equations. For the case of terrain propagation, the multilevel UV method is used to accelerate method of moments (MoM) solution. We consider propagation over a region of 14.42 km at 1,500 MHz that has 720,896 MoM surface unknowns. For the case of urban environment, because of the sharp rise in surface heights, we use a hybrid UV/SDFMM method. We consider a problem over 2.3 km with building heights of 18 m for 90,112 MoM surface unknowns at 900 MHz. Computations of all cases were performed with a single processor. Based on the simulations, we study fading and signal amplitude variation with distance.Index Terms-Channel model, computational electromagnetics, fading.