Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tuning and Optimizing the Finite Element Analysis with Elements of Large
  Nodal DOF on a Linux Cluster   The finite element analysis of high frequency vibrations of quartz crystal
plates is a necessary process required in the design of quartz crystal
resonators of precision types for applications in filters and sensors. The
anisotropic materials and extremely high frequency in radiofrequency range of
resonators determine that vibration frequency spectra are complicated with
strong couplings of large number of different vibration modes representing
deformations which do not appear in usual structural problems. For instance,
the higher-order thickness-shear vibrations usually representing the sharp
deformation of thin plates in the thickness direction, expecting the analysis
is to be done with refined meshing schemes along the relatively small thickness
and consequently the large plane area. To be able to represent the precise
vibration mode shapes, a very large number of elements are needed in the finite
element analysis with either the three-dimensional theory or the higher-order
plate theory, although considerable reduction of numbers of degree-of-freedom
(DOF) are expected for the two-dimensional analysis without scarifying the
accuracy. In this paper, we reviewed the software architecture for the analysis
and demonstrated the evaluation and tuning of parameters for the improvement of
the analysis with problems of elements with a large number of DOF in each node,
or a problem with unusually large bandwidth of the banded stiffness and mass
matrices in comparison with conventional finite element formulation. Such a
problem can be used as an example for the optimization and tuning of problems
from multi-physics analysis which are increasingly important in applications
with excessive large number of DOF and bandwidth in engineering.

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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex