About: A multigrid method for coupled optimal topology and shape design in nonlinear magnetostatics

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Topologická optimalizace hledá optimální distribuci materiálu a vzduchu bez omezení na strukturu návrhu geometrie. ´Tvarová optimalizace vylaďuje tvar geometrie při pevně dané topologii. V tomto článku navrhujeme sekvenční párování hrubě optimalizované topologie, která je počátečním návrhem pro následnou tvarovou optimalizaci. Našim cílem je navrhnout rychlý algoritmus užitím ajungované metody citlivostní analýzy pro Newtonovu metodu pro řídící nelineární stavovou rovnici a multigridový přístup pro tvarovou optimalizaci. Diskretizace je provedena metodou konečných prvků. Numerické výsledky prezentujeme pro 2-dimenzionální optimalizaci stejnosměrného elektromagnetu. (cs) Topology optimization searches for an optimal distribution of material and void without any restrictions on the structure of the design geometry. Shape optimization tunes the shape of the geometry, while the topology is fixed. In the paper we propose a sequential coupling so that a coarsely optimized topology is the initial guess for the following shape optimization. We aim at making this algorithm fast by using the adjoint sensitivity analysis to the Newton-method for the governing nonlinear state equation and a multigrid approach for the shape optimization. A finite element discretization method is employed. Numerical results are given for a 2--dimensional optimal design of a direct electric current electromagnet. Topology optimization searches for an optimal distribution of material and void without any restrictions on the structure of the design geometry. Shape optimization tunes the shape of the geometry, while the topology is fixed. In the paper we propose a sequential coupling so that a coarsely optimized topology is the initial guess for the following shape optimization. We aim at making this algorithm fast by using the adjoint sensitivity analysis to the Newton-method for the governing nonlinear state equation and a multigrid approach for the shape optimization. A finite element discretization method is employed. Numerical results are given for a 2--dimensional optimal design of a direct electric current electromagnet. (en)
Title	A multigrid method for coupled optimal topology and shape design in nonlinear magnetostatics Metoda multigridu pro topologickou a tvarovou optimalizaci v nelineární magnetostatice (cs) A multigrid method for coupled optimal topology and shape design in nonlinear magnetostatics (en)
skos:prefLabel	A multigrid method for coupled optimal topology and shape design in nonlinear magnetostatics Metoda multigridu pro topologickou a tvarovou optimalizaci v nelineární magnetostatice (cs) A multigrid method for coupled optimal topology and shape design in nonlinear magnetostatics (en)
skos:notation	RIV/61989100:27240/06:00013635!RIV07-GA0-27240___
http://linked.open.../vavai/riv/strany	1015-1022
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GP201/05/P008)
http://linked.open...vai/riv/dodaniDat	2007
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	463606
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/06:00013635
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	shape optimization; topology optimization; multigrid methods; nonlinear magnetostatics (en)
http://linked.open.../riv/klicoveSlovo	topology optimization shape optimization multigrid methods nonlinear magnetostatics
http://linked.open...ontrolniKodProRIV	[96D8C9F25A82]
http://linked.open...i/riv/mistoVydani	Atheny
http://linked.open...i/riv/nazevZdroje	Numerical Mathematics and Advanced Applications - ENUMATH 2005
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	Development of adaptive multi-level methods for 3-dimensional optimal topology and shape design in electromagnetism
http://linked.open...UplatneniVysledku	2006
http://linked.open...iv/tvurceVysledku	Lukáš, Dalibor
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	3-540-34287-7
http://localhost/t...ganizacniJednotka	27240

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