Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical solution of a nonlinear eigenvalue problem arising in optimal
  insulation   The optimal insulation of a heat conducting body by a thin film of variable
thickness can be formulated as a nondifferentiable, nonlocal eigenvalue
problem. The discretization and iterative solution for the reliable computation
of corresponding eigenfunctions that determine the optimal layer thickness are
addressed. Corresponding numerical experiments confirm the theoretical
observation that a symmetry breaking occurs for the case of small available
insulation masses and provide insight in the geometry of optimal films. An
experimental shape optimization indicates that convex bodies with one axis of
symmetry have favorable insulation properties.

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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an