Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What Lies Beneath the Surface: Topological-Shape Optimization With the
  Kernel-Independent Fast Multipole Method   The paper presents a new method for shape and topology optimization based on
an efficient and scalable boundary integral formulation for elasticity. To
optimize topology, our approach uses iterative extraction of isosurfaces of a
topological derivative. The numerical solution of the elasticity boundary value
problem at every iteration is performed with the boundary element formulation
and the kernel-independent fast multipole method. Providing excellent single
node performance, scalable parallelization and the best available asymptotic
complexity, our method is among the fastest optimization tools available today.
The performance of our approach is studied on few illustrative examples,
including the optimization of engineered constructions for the minimum
compliance and the optimization of the microstructure of a metamaterial for the
desired macroscopic tensor of elasticity.

34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
18
The categories of this paper are: econ