Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vlasov-Poisson system tackled by particle simulation utilising boundary
  element methods   This paper presents a grid-free simulation algorithm for the fully
three-dimensional Vlasov--Poisson system for collisionless electron plasmas. We
employ a standard particle method for the numerical approximation of the
distribution function. Whereas the advection of the particles is grid-free by
its very nature, the computation of the acceleration involves the solution of
the non-local Poisson equation. To circumvent a volume mesh, we utilise the
Fast Boundary Element Method, which reduces the three-dimensional Poisson
equation to a system of linear equations on its two-dimensional boundary. This
gives rise to fully populated matrices which are approximated by the $\mathcal
H^2$-technique, reducing the computational time from quadratic to linear
complexity. The approximation scheme based on interpolation has shown to be
robust and flexible, allowing a straightforward generalisation to vector-valued
functions. In particular, the Coulomb forces acting on the particles are
computed in linear complexity. In first numerical tests, we validate our
approach with the help of classical non-linear plasma phenomena. Furthermore,
we show that our method is able to simulate electron plasmas in complex
three-dimensional domains with mixed boundary conditions in linear complexity.

33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex