Overview
- Nominated as an outstanding PhD thesis by Technische Universität Darmstadt, Germany
- Proposes a mathematical approach for quantifying uncertainties in magnetic fields
- Includes relevant numerical examples for accelerator magnet design
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
- Nonlinear Magnetoquasistatic Problem
- Magnetoquasistatic Approximation
- Uncertain Material Properties
- Uncertainty Propagation
- Generalized Polynomial Chaos
- Magnetic Material Coefficient
- Interface Sensitivity
- Higher Order Whitney Forms
- Stochastic Modeling
- Material Uncertainty
- Uncertainties in Magnet Design
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Numerical Approximation of the Magnetoquasistatic Model with Uncertainties
Book Subtitle: Applications in Magnet Design
Authors: Ulrich Römer
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-319-41294-8
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2016
Hardcover ISBN: 978-3-319-41293-1Published: 09 August 2016
Softcover ISBN: 978-3-319-82316-4Published: 22 April 2018
eBook ISBN: 978-3-319-41294-8Published: 27 July 2016
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XXII, 114
Number of Illustrations: 12 b/w illustrations, 8 illustrations in colour
Topics: Microwaves, RF and Optical Engineering, Solid Mechanics, Engineering Design, Particle Acceleration and Detection, Beam Physics