Discretization Of Maxwell'S Equations In The Setting Of Geometric Algebra

In this paper geometric algebra of space-time is used to state Maxwell's equations in an ellegant differential and integral form. The proposed integral form involves no derivative with respect to time and is coordinate-free in contrast to what is usually refered as the integral form. The Maxwell's equations are discretized in a very natural manner using their integral form. The discretization of the material equations is discussed in detail. It is directly related to the efficiency of the resulting scheme. Finally, the relation to traditional approaches is shown.