Research Colloquium — Wednesday, November 1, 2006

In this talk the speaker will consider the time dependent Maxwell's equations in dispersive media on a bounded three-dimensional domain. Both standard and mixed finite element methods will be developed and error estimates will be provided for semi- and fully-discrete schemes. Three most popular dispersive media models (cold plasma, one-pole Debye medium and two-pole Lorentz medium) will be discussed. Finally, the speaker will extend the results to double negative metamaterials.