Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A gauge-compatible Hamiltonian splitting algorithm for particle-in-cell
  simulations using finite element exterior calculus   A particle-in-cell algorithm is derived with a canonical Poisson structure in
the formalism of finite element exterior calculus. The resulting method belongs
to the class of gauge-compatible splitting algorithms, which exactly preserve
gauge symmetries and their associated conservation laws via the momentum map.
We numerically demonstrate this time invariance of the momentum map and its
usefulness in establishing precise initial conditions with a desired initial
electric field and fixed background charge. The restriction of this canonical,
finite element Poisson structure to the 1X2P phase space is also considered and
simulated numerically.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
1
The categories of this paper are: cs
18
The categories of this paper are: econ