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

Domain Decomposition Framework for Maxwell Finite Element Solvers and Application to PIC