Rubrics for Charge Conserving Current Mapping in Finite Element Electromagnetic Particle in Cell Methods

Modeling of kinetic plasmas using electromagnetic particle in cell (EM-PIC) methods is a well worn problem, that developed have been used extensively both understanding physics and exploiting them for device design. EM-PIC tools largely relied on finite difference coupled with representations the distribution function. Refinements to ensure consistency charge conservation ad hoc efforts specific methods. Meanwhile, solution field solver grown by leaps bounds significant performance metrics compared Developing new computational schemes leverage modern technology means re-examining analysis framework necessary self-consistent solution. In this article, we prescribe general rubrics conservation, demonstrate how these are satisfied conventional PIC as element PIC, novel conserving PIC. Our effort leverages proper mappings xmlns:xlink="http://www.w3.org/1999/xlink">de-Rham sequences lays groundwork conditions must be consistency. Several numerical results applicability rubrics.