Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal convergence behavior of adaptive FEM driven by simple
  (h-h/2)-type error estimators   For some Poisson-type model problem, we prove that adaptive FEM driven by the
(h-h/2)-type error estimators from [Ferraz-Leite, Ortner, Praetorius, Numer.
Math. 116 (2010)] leads to convergence with optimal algebraic convergence
rates. Besides the implementational simplicity, another striking feature of
these estimators is that they can provide guaranteed lower bounds for the
energy error with known efficiency constant 1.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an