Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An unconditionally stable algorithm for generalised thermoelasticity
  based on operator-splitting and time-discontinuous Galerkin finite element
  methods   An efficient time-stepping algorithm is proposed based on operator-splitting
and the space-time discontinuous Galerkin finite element method for problems in
the non-classical theory of thermoelasticity. The non-classical theory
incorporates three models; the classical theory based on Fourier's law of heat
conduction resulting in a hyperbolic-parabolic coupled system, a non-classical
theory of a fully hyperbolic extension, and a combination of the two. The
general problem is split into two contractive sub-problems, namely the
mechanical phase and the thermal phase. Each sub-problem is discretised using
space-time discontinuous Galerkin finite element method resulting each to be
stable which then leads to unconditional stability of the global product
algorithm. A number of numerical examples are presented to demonstrate the
performance and capability of the method.

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th