Solving topology optimization problems using cellular automata and mortar finite element method
Authors:
- Yashchuk Yu. O.,
- Katarzyna Tajs-Zielinska
Abstract
Currently topology optimization is widely used by engineers for different practical problems. Researches by different authors offer algorithms of using cellular automata in these problems, and most recent publications introduce a mesh-refinement procedure to decrease numerical efforts. In this article, we propose to apply a mortar finite element method for solving topology optimization problems using cellular automata. This methodology enables us to handle the non-conforming meshes, which can arise in the refinement process. We present a formulation of the algorithm and analyse its computational complexity by applying to a test problem.
- Record ID
- CUTfb8417cd8b504e9992cb244947ebb858
- Publication categories
- ;
- Author
- Other language title versions
- Розв’язування задач топологiчної оптимiзацiї за допомогою клiтинних автоматiв та мортарного методу скiнченних елементiв
- Journal series
- Mathematical Modeling and Computing, ISSN 2312-9794, e-ISSN 2415-3788
- Issue year
- 2020
- Vol
- 7
- No
- 2
- Pages
- 239-247
- Other elements of collation
- schem.; wykr.; Bibliografia (na s.) - 246-247; Bibliografia (liczba pozycji) - 15; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 7, No. 2
- Keywords in English
- topology optimization, finite element method, cellular automata, adaptive mesh refinement, mortar functions
- DOI
- DOI:10.23939/mmc2020.02.239 Opening in a new tab
- URL
- http://science.lpnu.ua/mmc/all-volumes-and-issues/volume-7-number-2-2020/solving-topology-optimization-problems-using Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 20
- Additional fields
- Indeksowana w: Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTfb8417cd8b504e9992cb244947ebb858/
- URN
urn:pkr-prod:CUTfb8417cd8b504e9992cb244947ebb858
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.