Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison between shape optimization and volumic level set
  approximation for geometrical functionals   We propose to differentiate a general curvature functional with two different
approaches. In the first one we compute the derivative with the tools of shape
optimization and in the second one we compute the derivative of a volumic
approximation of the functional with respect to a level set function. We show
that the two previous approaches give the same result.

13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph