About: A shape optimization method for nonlinear axisymmetric magnetostatics using a coupling of finite and boundary elements

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About: A shape optimization method for nonlinear axisymmetric magnetostatics using a coupling of finite and boundary elements Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper we propose a method for constrained shape optimization governed with a nonlinear axisymmetric magnetostatic state problem and we apply it to an optimal shape design of an electromagnet. The state problem is solved via Hiptmair's symmetric coupling of finite elements employed in the interior ferromagnetic domain and boundary elements modelling the exterior air domain as well as current excitations. As a novelty we derive Duffy regularization transforms of the boundary element integrals for the axisymmetric case, which are then evaluated using a tensor-product Gaussian quadrature. Nonlinear ferromagnetic behaviour is resolved by Newton iterations. The optimization method under both linear and nonlinear constraints relies on the active-set steepest-descent search, projections onto the set of linearized constraints, and an adjoint method of shape sensitivity analysis. Shape perturbations influence grid deformation via a solution to an auxiliary torsion-free linear elasticity problem. Finally, numerical results are presented. In this paper we propose a method for constrained shape optimization governed with a nonlinear axisymmetric magnetostatic state problem and we apply it to an optimal shape design of an electromagnet. The state problem is solved via Hiptmair's symmetric coupling of finite elements employed in the interior ferromagnetic domain and boundary elements modelling the exterior air domain as well as current excitations. As a novelty we derive Duffy regularization transforms of the boundary element integrals for the axisymmetric case, which are then evaluated using a tensor-product Gaussian quadrature. Nonlinear ferromagnetic behaviour is resolved by Newton iterations. The optimization method under both linear and nonlinear constraints relies on the active-set steepest-descent search, projections onto the set of linearized constraints, and an adjoint method of shape sensitivity analysis. Shape perturbations influence grid deformation via a solution to an auxiliary torsion-free linear elasticity problem. Finally, numerical results are presented. (en)
Title	A shape optimization method for nonlinear axisymmetric magnetostatics using a coupling of finite and boundary elements A shape optimization method for nonlinear axisymmetric magnetostatics using a coupling of finite and boundary elements (en)
skos:prefLabel	A shape optimization method for nonlinear axisymmetric magnetostatics using a coupling of finite and boundary elements A shape optimization method for nonlinear axisymmetric magnetostatics using a coupling of finite and boundary elements (en)
skos:notation	RIV/61989100:27240/12:86084480!RIV13-GA0-27240___
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(1ET400300415), P(GA202/06/0531), P(KAN400100653), S, Z(MSM6198910027)
http://linked.open...iv/cisloPeriodika	10
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Lukáš, Dalibor
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
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	120597
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/12:86084480
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Adjoint sensitivity analysis; Finite element method; Boundary element method; Nonlinear magnetostatics; Shape optimization (en)
http://linked.open.../riv/klicoveSlovo	Adjoint sensitivity analysis Nonlinear magnetostatics Shape optimization Finite element method Boundary element method
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[9AD90F205C3D]
http://linked.open...i/riv/nazevZdroje	Mathematics and computers in simulation
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Self-organized magnetic nanostructures Reflection and waveguiding effects in magnetic nanostructures Modelling and simulation of complex technical problems:effective numerical algorithms and parallel implementation using new information technologie
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	82
http://linked.open...iv/tvurceVysledku	Postava, Kamil Životský, Ondřej Lukáš, Dalibor
http://linked.open...ain/vavai/riv/wos	000308519900002
http://linked.open...n/vavai/riv/zamer	Výpočetně náročné počítačové simulace a optimalizace
issn	0378-4754
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.matcom.2011.01.015
http://localhost/t...ganizacniJednotka	27240

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