A Charge Conserving Exponential Predictor Corrector FEMPIC Formulation for Relativistic Particle Simulations

A Charge Conserving Exponential Predictor Corrector FEMPIC Formulation for Relativistic Particle Simulations https://t.co/C5gf6lPK67

traditional Boris solver and conserves charge to machine precision. We further demonstrate benefits compared to other polynomial methods to solve Newton's equations, like the well known Boris push. [8/8 of https://t.co/6aW668igep]

method for Newton's equations. As we will show via numerical experiments, the proposed method conserves energy within a PIC scheme, has an unconditionally stable EM solve, solves Newton's equations to much higher accuracy than a [7/8 of https://t.co/6aW668

combined system. These methods suffer from the same side-effect as earlier--they are conditionally stable. Here we propose a different approach; we pair an unconditionally stable Maxwell solver to an exponential predictor-corrector [6/8 of https://t.co/6aW