Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Residual-based a posteriori error estimation for the Maxwell's
  eigenvalue problem   We present an a posteriori estimator of the error in the L^2-norm for the
numerical approximation of the Maxwell's eigenvalue problem by means of
N\'ed\'elec finite elements. Our analysis is based on a Helmholtz decomposition
of the error and on a superconvergence result between the L^2-orthogonal
projection of the exact eigenfunction onto the curl of the N\'ed\'elec finite
element space and the eigenfunction approximation. Reliability of the a
posteriori error estimator is proved up to higher order terms and local
efficiency of the error indicators is shown by using a standard bubble
functions technique. The behavior of the a posteriori error estimator is
illustrated on a numerical test.

28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin