A Predictor-Corrector Based Charge and Energy Conserving EM-FEMPIC Scheme

The state of the art in electromagnetic finite element PIC (EM-FEMPIC) has advanced significantly in recent years, with the state-of-the-art allowing the use of implicit field solvers while satisfying Gauss' Laws to machine precision. As a result, there is growing interest in exploring more robust particle integration schemes - in particular, methods with superior convergence and stability than the boris integrator that conserve energy on asymptotically large timescales. The objective of this work is to construct such a particle integrator using a predictor-corrector method. We show through our numerical results that the proposed method robustly conserves energy both for single particles and within a complete EM-FEMPIC scheme.