About: Multigrid-based optimal shape and topology design in magnetostatics

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The paper deals with an efficient solution technique to large-scale discretized shape and topology optimization problems. The efficiency relies on multigrid preconditioni ng. In case of shape optimization, we apply a geometric multigrid preconditioner to eliminate the underlying state equation while the outer optimization loop is the sequential quadratic programming, which is done in the multilevel fashion as well. In case of topology optimization, we can only use the steepest-descent optimization method, since the topology Hessian is dense and large-scale. We al so discuss a Newton-Lagrange technique, which leads to a sequential solution of large-scale, but sparse saddle-point systems, that are solved by an augmented Lagrangian method with a multigrid preconditioning. At the end, we present a sequential coupling of the topology and shape optimization. Numerical results are given for a geometry optimization in 2-dimensional nonlinear magnetostatics. The paper deals with an efficient solution technique to large-scale discretized shape and topology optimization problems. The efficiency relies on multigrid preconditioni ng. In case of shape optimization, we apply a geometric multigrid preconditioner to eliminate the underlying state equation while the outer optimization loop is the sequential quadratic programming, which is done in the multilevel fashion as well. In case of topology optimization, we can only use the steepest-descent optimization method, since the topology Hessian is dense and large-scale. We al so discuss a Newton-Lagrange technique, which leads to a sequential solution of large-scale, but sparse saddle-point systems, that are solved by an augmented Lagrangian method with a multigrid preconditioning. At the end, we present a sequential coupling of the topology and shape optimization. Numerical results are given for a geometry optimization in 2-dimensional nonlinear magnetostatics. (en)
Title	Multigrid-based optimal shape and topology design in magnetostatics Multigrid-based optimal shape and topology design in magnetostatics (en)
skos:prefLabel	Multigrid-based optimal shape and topology design in magnetostatics Multigrid-based optimal shape and topology design in magnetostatics (en)
skos:notation	RIV/61989100:27240/07:00014981!RIV11-AV0-27240___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1ET400300415), P(GP201/05/P008), Z(MSM6198910027)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Lukáš, Dalibor
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta elektrotechniky a informatiky
http://linked.open...dnocenehoVysledku	435635
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/07:00014981
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	magnetostatics; topology optimization; shape optimization; multigrid (en)
http://linked.open.../riv/klicoveSlovo	topology optimization shape optimization magnetostatics multigrid
http://linked.open...ontrolniKodProRIV	[146857A71CE1]
http://linked.open...v/mistoKonaniAkce	Borovec, Bulharsko
http://linked.open...i/riv/mistoVydani	Berlin, Heidelberg
http://linked.open...i/riv/nazevZdroje	Numerical Methods and Applications: 6th International Conference, NMA 2006
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Modelling and simulation of complex technical problems:effective numerical algorithms and parallel implementation using new information technologie Development of adaptive multi-level methods for 3-dimensional optimal topology and shape design in electromagnetism
http://linked.open...UplatneniVysledku	2007
http://linked.open...iv/tvurceVysledku	Lukáš, Dalibor
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000245775400009
http://linked.open.../riv/zahajeniAkce	2006-08-20 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Výpočetně náročné počítačové simulace a optimalizace
issn	0302-9743
number of pages	9 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer Netherlands
https://schema.org/isbn	3-540-70940-1
http://localhost/t...ganizacniJednotka	27240

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