Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Virtual elements on agglomerated finite elements to increase the
  critical time step in elastodynamic simulations   In this paper, we use the first-order virtual element method (VEM) to
investigate the effect of shape quality of polyhedra in the estimation of the
critical time step for explicit three-dimensional elastodynamic finite element
simulations. Low-quality finite elements are common when meshing realistic
complex components, and while tetrahedral meshing technology is generally
robust, meshing algorithms cannot guarantee high-quality meshes for arbitrary
geometries or for non-water-tight computer-aided design models. For reliable
simulations on such meshes, we consider finite element meshes with tetrahedral
and prismatic elements that have badly-shaped elements$-$tetrahedra with
dihedral angles close to $0^\circ$ and $180^\circ$, and slender prisms with
triangular faces that have short edges$-$and agglomerate such `bad' elements
with neighboring elements to form a larger polyhedral virtual element. On each
element of the mesh, the element-eigenvalue inequality is used to obtain an
estimate of the critical time step. For a suite of illustrative finite element
meshes with $\epsilon$ being a mesh-coordinate parameter that leads to poor
mesh quality, we show that adopting VEM on the agglomerated polyhedra yield
critical time steps that are insensitive as $\epsilon \rightarrow 0$. This
study shows the promise of virtual element technology for reliable explicit
finite element elastodynamic simulations on low-quality three-dimensional
meshes.

23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th