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

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 t...

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Autores principales:	Anflor,Carla T. M, Braga,Luciana M, de Albuquerque,Eder L
Lenguaje:	English
Publicado:	Universidad de Tarapacá. 2015
Materias:	Topology optimization topological derivative fast multipole method boundary element method
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052015000400016
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spelling	oai:scielo:S0718-330520150004000162016-03-22The fast multipole boundary element method performance evaluation for topological optimization procedureAnflor,Carla T. MBraga,Luciana Mde Albuquerque,Eder L Topology optimization topological derivative fast multipole method 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.info:eu-repo/semantics/openAccessUniversidad de Tarapacá.Ingeniare. Revista chilena de ingeniería v.23 n.4 20152015-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052015000400016en10.4067/S0718-33052015000400016
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Topology optimization topological derivative fast multipole method boundary element method
spellingShingle	Topology optimization topological derivative fast multipole method boundary element method Anflor,Carla T. M Braga,Luciana M de Albuquerque,Eder L The fast multipole boundary element method performance evaluation for topological optimization procedure
description	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.
author	Anflor,Carla T. M Braga,Luciana M de Albuquerque,Eder L
author_facet	Anflor,Carla T. M Braga,Luciana M de Albuquerque,Eder L
author_sort	Anflor,Carla T. M
title	The fast multipole boundary element method performance evaluation for topological optimization procedure
title_short	The fast multipole boundary element method performance evaluation for topological optimization procedure
title_full	The fast multipole boundary element method performance evaluation for topological optimization procedure
title_fullStr	The fast multipole boundary element method performance evaluation for topological optimization procedure
title_full_unstemmed	The fast multipole boundary element method performance evaluation for topological optimization procedure
title_sort	fast multipole boundary element method performance evaluation for topological optimization procedure
publisher	Universidad de Tarapacá.
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0718-33052015000400016
work_keys_str_mv	AT anflorcarlatm thefastmultipoleboundaryelementmethodperformanceevaluationfortopologicaloptimizationprocedure AT bragalucianam thefastmultipoleboundaryelementmethodperformanceevaluationfortopologicaloptimizationprocedure AT dealbuquerqueederl thefastmultipoleboundaryelementmethodperformanceevaluationfortopologicaloptimizationprocedure AT anflorcarlatm fastmultipoleboundaryelementmethodperformanceevaluationfortopologicaloptimizationprocedure AT bragalucianam fastmultipoleboundaryelementmethodperformanceevaluationfortopologicaloptimizationprocedure AT dealbuquerqueederl fastmultipoleboundaryelementmethodperformanceevaluationfortopologicaloptimizationprocedure
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The fast multipole boundary element method performance evaluation for topological optimization procedure

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