Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A general-purpose element-based approach to compute dispersion relations
  in periodic materials with existing finite element codes   In most of standard Finite Element (FE) codes it is not easy to calculate
dispersion relations from periodic materials. Here we propose a new strategy to
calculate such dispersion relations with available FE codes using user element
subroutines. Typically, the Bloch boundary conditions are applied to the global
assembled matrices of the structure through a transformation matrix or
row-and-column operations. Such a process is difficult to implement in standard
FE codes since the user does not have access to the global matrices. In this
work, we apply those Bloch boundary conditions directly at the elemental level.
The proposed strategy can be easily implemented in any FE code. This strategy
can be used either in real or complex algebra solvers. It is general enough to
permit any spatial dimension and physical phenomena involving periodic
structures. A detailed process of calculation and assembly of the elemental
matrices is shown. We verify our method with available analytical solutions and
external numerical results, using different material models and unit cell
geometries

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex