Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of fully discrete, quasi non-conforming approximations of
  evolution equations and applications   In this paper we consider fully discrete approximations of abstract evolution
equations, by means of a quasi non-conforming spatial approximation and finite
differences in time (Rothe-Galerkin method). The main result is the convergence
of the discrete solutions to a weak solution of the continuous problem. Hence,
the result can be interpreted either as a justification of the numerical
method, or as an alternative way of constructing weak solutions. We set the
problem in the very general and abstract setting of pseudo-monotone operators,
which allows for a unified treatment of several evolution problems. The
examples -- which fit into our setting and which motivated our research -- are
problems describing the motion of incompressible fluids, since the quasi
non-conforming approximation allows to handle problems with prescribed
divergence. Our abstract results for pseudo-monotone operators allow to show
convergence just by verifying a few natural assumptions on the operator
time-by-time and on the discretization spaces. Hence, applications and
extensions to several other evolution problems can be easily performed. The
results of some numerical periments are reported in the final section.

20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
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
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph