Exact Charge Conservation in a High-Order Conforming Maxwell Solver coupled with Particles

Abstract : We present a general mathematical framework for electromagnetic Particle-In-Cell (PIC) codes that can be used on structured as well as unstructured or hybrid grids using an exact sequence of conforming Finite Element spaces for the different components of the electromagnetic field. The structure of the Maxwell solver enables us to derive an exact discrete version of the continuity equation which generalized the charge conserving method of Villasenor and Buneman on this kind of grids. The method has been implemented in 2D and 3D.
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Martin Campos Pinto, Sébastien Jund, Guillaume Latu, Stéphanie Salmon, Eric Sonnendrücker. Exact Charge Conservation in a High-Order Conforming Maxwell Solver coupled with Particles. Waves'09, 2009, Pau, France. ⟨inria-00591052⟩

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