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Structure of DEC and operators for a single 2-D simplex.
Prismal primal and dual cells, shown in two spatial dimensions for clarity. A is a primal 1-form, B and E are primal 2-forms, D and H are dual 2-forms, and (J and ) is a dual 2-form. The structure of these forms in 3 spatial dimensions is outlined in the text. Also shown is a sample particle track.
Electron beam particle distribution accelerated by external potential. Evolved in time using: (a) symplectic PIC (current conserving) (b) non current conserving algorithm producing spurious bunching of the charge into lines due to violations of Gauss’s law.
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