Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On generalized binomial laws to evaluate finite element accuracy: toward
  applications for adaptive mesh refinement   The aim of this paper is to provide new perspectives on the relative finite
elements accuracy. Starting from a geometrical interpretation of the error
estimate which can be deduced from Bramble-Hilbert lemma, we derive a
probability law that evaluates the relative accuracy, considered as a random
variable, between two finite elements $P_k$ and $P_m$, ($k < m$). We extend
this probability law to get a cumulated probabilistic law for two main
applications. The first one concerns a family of meshes and the second one is
dedicated to a sequence of simplexes which constitute a given mesh. Both of
this applications might be relevant for adaptive mesh refinement.

19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int