A new finite volume scheme for solving Maxwell's system

A new finite volume scheme to solve Maxwell's equations is presented. The a pproach is based on a leapfrog time scheme and a centered flux formula. Thi s method is well suited for handling complex geometries, and therefore we c an use unstructured grids. It is also able to capture the discontinuities o f the electromagnetic fields through different media, without producing spu rious oscillations. Owing to these properties, we can treat difficult probl ems, such a computing a scattered wave across complex objects. An analysis of the scheme is presented and numerical experiments are performed.