Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isogeometric shape optimization for scaffold structures   The development of materials with specific structural properties is of huge
practical interest, for example, for medical applications or for the
development of light weight structures in aeronautics. In this article, we
combine shape optimization and homogenization for the optimal design of the
microstructure in scaffolds. Given the current microstructure, we apply the
isogeometric boundary element method to compute the effective tensor and to
update the microstructure by using the shape gradient in order to match the
desired effective tensor. Extensive numerical studies are presented to
demonstrate the applicability and feasibility of the approach.

12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an