Szukana fraza: [Abstract = "We investigate two explicit finite element methods for linear scalar first order hyperbolic equations, one using a continuous piecewise\-polynomial approximation and one using a discontinuous approximation. Several aspects of the performance of these methods are considered\; in particular, the sharpness of some existing error estimates, and crosswind spread estimates. For the discontinuous method, we give a new error estimate for the case of piecewise\-constants."]