Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A posteriori error analysis for finite element solution of elliptic
  differential equations using equidistributing meshes   The paper is concerned with the adaptive finite element solution of linear
elliptic differential equations using equidistributing meshes. A strategy is
developed for defining this type of mesh based on residual-based a posteriori
error estimates and rigorously analyzing the convergence of a linear finite
element approximation using them. The existence and computation of
equidistributing meshes and the continuous dependence of the finite element
approximation on mesh are also studied. Numerical results are given to verify
the theoretical findings.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat