The fast multipole boundary element method performance evaluation for topological optimization procedure

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Auteur principal: Carla T. M. Anflor
Format: Artículo científico
Langue:en
Publié: Universidad de Tarapacá 2015
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author Carla T. M. Anflor
author_facet Carla T. M. Anflor
contents The fast multipole boundary element method performance evaluation for topological optimization procedure Carla T. M. Anflor Luciana M. Braga Eder L. de Albuquerque Ingeniería Yopology optimization fast multipole method topological derivative boundary element method The objective of this work is to evaluate the performance of a Boundary Element Method (BEM) accelerated by the Fast Multipole Method (FMM) compared with a direct (BEM) in an optimization topology problem. The formulation of the Fast Multipole Boundary Element Method (FMBEM) is introduced in order to make the optimization process more attractive from the point of view of the computational cost. The fast multipole formulation is briefly summarized. A topological-shape sensitivity approach is used to select the points showing the lowest sensitivities, where material is removed by opening a cavity. As the iterative process evolves, the original domain has holes progressively removed, until a given stop criteria is achieved. For comparison, the topology resulting from a direct BEM optimization process is used. The CPU time x DOF’s is also investigated. The accelerated BEM shows good performance in an optimization routine. 2015 artículo científico 0718-3291 https://www.redalyc.org/articulo.oa?id=77242864016 en http://www.redalyc.org/revista.oa?id=772 Ingeniare. Revista Chilena de Ingeniería application/pdf Universidad de Tarapacá Ingeniare. Revista Chilena de Ingeniería (Chile) Num.4 Vol.23
format Artículo científico
id redalyc_77242864016
institution Redalyc
language en
publishDate 2015
publisher Universidad de Tarapacá
spellingShingle The fast multipole boundary element method performance evaluation for topological optimization procedure
Carla T. M. Anflor
Ingeniería
Yopology optimization
fast multipole method
topological derivative
boundary element method
The fast multipole boundary element method performance evaluation for topological optimization procedure Carla T. M. Anflor Luciana M. Braga Eder L. de Albuquerque Ingeniería Yopology optimization fast multipole method topological derivative boundary element method The objective of this work is to evaluate the performance of a Boundary Element Method (BEM) accelerated by the Fast Multipole Method (FMM) compared with a direct (BEM) in an optimization topology problem. The formulation of the Fast Multipole Boundary Element Method (FMBEM) is introduced in order to make the optimization process more attractive from the point of view of the computational cost. The fast multipole formulation is briefly summarized. A topological-shape sensitivity approach is used to select the points showing the lowest sensitivities, where material is removed by opening a cavity. As the iterative process evolves, the original domain has holes progressively removed, until a given stop criteria is achieved. For comparison, the topology resulting from a direct BEM optimization process is used. The CPU time x DOF’s is also investigated. The accelerated BEM shows good performance in an optimization routine. 2015 artículo científico 0718-3291 https://www.redalyc.org/articulo.oa?id=77242864016 en http://www.redalyc.org/revista.oa?id=772 Ingeniare. Revista Chilena de Ingeniería application/pdf Universidad de Tarapacá Ingeniare. Revista Chilena de Ingeniería (Chile) Num.4 Vol.23
title The fast multipole boundary element method performance evaluation for topological optimization procedure
topic Ingeniería
Yopology optimization
fast multipole method
topological derivative
boundary element method
url https://www.redalyc.org/articulo.oa?id=77242864016