Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical analysis of a non-clamped dynamic thermoviscoelastic contact
  problem   In this work we analyze a non-clamped dynamic viscoelastic contact problem
involving thermal effect. The friction law is described by a nonmonotone
relation between the tangential stress and the tangential velocity. This leads
to a system of hyperbolic inclusion for displacement and parabolic equation for
temperature. We provide a fully discrete approximation of studied problem and
find optimal error estimates without any smallness assumption on the data. The
theoretical result is illustrated numerically.

9
The categories of this paper are: nlin
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph