Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient PDE constrained shape optimization based on Steklov-Poincar\'e
  type metrics   Recent progress in PDE constrained optimization on shape manifolds is based
on the Hadamard form of shape derivatives, i.e., in the form of integrals at
the boundary of the shape under investigation, as well as on intrinsic shape
metrics. From a numerical point of view, domain integral forms of shape
derivatives seem promising, which rather require an outer metric on the domain
surrounding the shape boundary. This paper tries to harmonize both points of
view by employing a Steklov-Poincar\'e type intrinsic metric, which is derived
from an outer metric. Based on this metric, efficient shape optimization
algorithms are proposed, which also reduce the analytical labor, so far
involved in the derivation of shape derivatives.

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The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics