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

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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.

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Detail Information

Series Title

Springer Theses

Call Number

-

Publisher

Switzerland : Springer., 2016

Collation

XXII, 114

Language

English

ISBN/ISSN

978-3-319-41293-1

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Engineering Design
Solid Mechanics
Microwaves
RF Engineering and Optical Communications
Accelerator Physics

Specific Detail Info

-

Statement of Responsibility

Ulrich Römer

Other Information

Cataloger

Devi

Source

-

Validator

Taufik

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