Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SEMDOT: Smooth-Edged Material Distribution for Optimizing Topology
  Algorithm   Element-based topology optimization algorithms capable of generating smooth
boundaries have drawn serious attention given the significance of accurate
boundary information in engineering applications. The basic framework of a new
element-based continuum algorithm is proposed in this paper. This algorithm is
based on a smooth-edged material distribution strategy that uses solid/void
grid points assigned to each element. Named Smooth-Edged Material Distribution
for Optimizing Topology (SEMDOT), the algorithm uses elemental volume fractions
which depend on the densities of grid points in the Finite Element Analysis
(FEA) model rather than elemental densities. Several numerical examples are
studied to demonstrate the application and effectiveness of SEMDOT. In these
examples, SEMDOT proved to be capable of obtaining optimized topologies with
smooth and clear boundaries showing better or comparable performance compared
to other topology optimization methods. Through these examples, first, the
advantages of using the Heaviside smooth function are discussed in comparison
to the Heaviside step function. Then, the benefits of introducing multiple
filtering steps in this algorithm are shown. Finally, comparisons are conducted
to exhibit the differences between SEMDOT and some well-established
element-based algorithms. The validation of the sensitivity analysis method
adopted in SEMDOT is conducted using a typical compliant mechanism design case.
In addition, this paper provides the Matlab code of SEMDOT for educational and
academic purposes.

3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
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The categories of this paper are: math
37
The categories of this paper are: supr-con