Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A priori error analysis for a finite element approximation of dynamic
  viscoelasticity problems involving a fractional order integro-differential
  constitutive law   We consider a fractional order viscoelasticity problem modelled by a
power-law type stress relaxation function. This viscoelastic problem is a
Volterra integral equation of the second kind with a weakly singular kernel
where the convolution integral corresponds to fractional order
differentiation/integration. We use a spatial finite element method and a
finite difference scheme in time. Due to the weak singularity, fractional order
integration in time is managed approximately by linear interpolation so that we
can formulate a fully discrete problem. In this paper, we present a stability
bound as well as a priori error estimates. Furthermore, we carry out numerical
experiments with varying regularity of exact solutions at the end.

32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
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
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics