Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parallelization of the multi-level hp-adaptive finite cell method   The multi-level hp-refinement scheme is a powerful extension of the finite
element method that allows local mesh adaptation without the trouble of
constraining hanging nodes. This is achieved through hierarchical high-order
overlay meshes, a hp-scheme based on spatial refinement by superposition. An
efficient parallelization of this method using standard domain decomposition
approaches in combination with ghost elements faces the challenge of a large
basis function support resulting from the overlay structure and is in many
cases not feasible. In this contribution, a parallelization strategy for the
multi-level hp-scheme is presented that is adapted to the scheme's simple
hierarchical structure. By distributing the computational domain among
processes on the granularity of the active leaf elements and utilizing shared
mesh data structures, good parallel performance is achieved, as redundant
computations on ghost elements are avoided. We show the scheme's parallel
scalability for problems with a few hundred elements per process. Furthermore,
the scheme is used in conjunction with the finite cell method to perform
numerical simulations on domains of complex shape.

28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc