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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F12%3A86084480" target="_blank" >RIV/61989100:27240/12:86084480 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27350/12:86084480

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.matcom.2011.01.015" target="_blank" >http://dx.doi.org/10.1016/j.matcom.2011.01.015</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.matcom.2011.01.015" target="_blank" >10.1016/j.matcom.2011.01.015</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 forthe 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

Název v anglickém jazyce

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

Popis výsledku anglicky

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 forthe 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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematics and computers in simulation

ISSN

0378-4754

e-ISSN

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Svazek periodika

82

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

11

Strana od-do

1721-1731

Kód UT WoS článku

000308519900002

EID výsledku v databázi Scopus

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