Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adaptive Mesh Refinement for Topology Optimization with Discrete
  Geometric Components   This work introduces an Adaptive Mesh Refinement (AMR) strategy for the
topology optimization of structures made of discrete geometric components using
the geometry projection method. Practical structures made of geometric shapes
such as bars and plates typically exhibit low volume fractions with respect to
the volume of the design region they occupy. To maintain an accurate analysis
and to ensure well-defined sensitivities in the geometry projection, it is
required that the element size is smaller than the smallest dimension of each
component. For low-volume-fraction structures, this leads to finite element
meshes with very large numbers of elements. To improve the efficiency of the
analysis and optimization, we propose a strategy to adaptively refine the mesh
and reduce the number of elements by having a finer mesh on the geometric
components, and a coarser mesh away from them. The refinement indicator stems
very naturally from the geometry projection and is thus straightforward to
implement. We demonstrate the effectiveness of the proposed AMR method by
performing topology optimization for the design of minimum-compliance and
stress-constrained structures made of bars and plates.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex