  The most popular methods for self-consistent simulation of fields interacting
with charged species is using finite difference time domain (FDTD) methods
together with Newton's laws of motion to evolve locations and velocities of
particles. Despite their popularity, the limitation of FDTD particle in cell
(EM-FDTDPIC) methods are well known. To address these, there has been
significant interest over the past decade in exploring alternatives. In the
past few years, the advances in electromagnetic finite element methods for
particle in cell (EM-FEMPIC) has advanced by leaps and bounds. The mathematics
necessary for implicit FEM methods that are unconditionally stable and charge
conserving are now well understood. Some of these advances are more recent. The
next bottleneck necessary to make EM-FEMPIC competitive with FDTD based scheme
is overcoming computational cost. Our approach to resolving this challenge is
develop two different finite element tearing and integration approaches, and
using these to create domain decomposition schemes for EM-FEMPIC. Details of
the proposed methodology are presented as well as a number of results that
demonstrates charge conservation as well as amelioration of costs for a number
of problems.
