Numerical Approximation of the Magnetoquasistatic Model with Uncertainties Applications in Magnet Design /

This book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the...

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Detaylı Bibliyografya
Yazar: Römer, Ulrich (Yazar)
Müşterek Yazar: SpringerLink (Online service)
Materyal Türü: e-Kitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edisyon:1st ed. 2016.
Seri Bilgileri:Springer Theses, Recognizing Outstanding Ph.D. Research,
Konular:
Telecommunication.
Mechanics, Applied.
Solids.
Engineering design.
Particle accelerators.
Microwaves, RF Engineering and Optical Communications.
Solid Mechanics.
Engineering Design.
Accelerator Physics.
Online Erişim:Full-text access
OPAC'ta görüntüle
Diğer Bilgiler
Özet:This book presents a comprehensive mathematical approach for solving stochastic magnetic field problems. It discusses variability in material properties and geometry, with an emphasis on the preservation of structural physical and mathematical properties. It especially addresses uncertainties in the computer simulation of magnetic fields originating from the manufacturing process. Uncertainties are quantified by approximating a stochastic reformulation of the governing partial differential equation, demonstrating how statistics of physical quantities of interest, such as Fourier harmonics in accelerator magnets, can be used to achieve robust designs. The book covers a number of key methods and results such as: a stochastic model of the geometry and material properties of magnetic devices based on measurement data; a detailed description of numerical algorithms based on sensitivities or on a higher-order collocation; an analysis of convergence and efficiency; and the application of the developed model and algorithms to uncertainty quantification in the complex magnet systems used in particle accelerators. .
Fiziksel Özellikler:XXII, 114 p. 20 illus., 8 illus. in color. online resource.
ISBN:9783319412948
ISSN:2190-5061
DOI:10.1007/978-3-319-41294-8

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