Operator Splittings for the Numerical Solution of the Maxwell's Equations

摘要

In this paper, the operator splitting techniques are applied for the semi-discretized Maxwell's equations. The semi-discretization is performed on a staggered grid structure like other frequently used methods (YEE, NZCZ, KFR). We show how these methods fit into the framework of the splitting methods. We construct a new unconditionally stable solution method, which possesses all favourable properties of the NZCZ-method, and additionally it conserves the energy density of the electromagnetic field. We compare the new method with the NZCZ-method presenting a 2D numerical example.