Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Error estimates in balanced norms of finite element methods for higher
  order reaction-diffusion problems   Error estimates of finite element methods for reaction-diffusion problems are
often realised in the related energy norm. In the singularly perturbed case,
however, this norm is not adequate. A different scaling of the $H^m$ seminorm
for $2m$-th order problems leads to a balanced norm which reflects the layer
behaviour correctly.
  We prove error estimates in such balanced norms and improve thereby existing
estimates known in literature.

27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: eess