Numerical approximation of the magnetoquasistatic model with uncertainties [electronic resource] : applications in magnet design / Ulrich Römer.
2016
QA221
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Title
Numerical approximation of the magnetoquasistatic model with uncertainties [electronic resource] : applications in magnet design / Ulrich Römer.
Author
Römer, Ulrich, author.
ISBN
9783319412948 (electronic book)
3319412949 (electronic book)
9783319412931
3319412949 (electronic book)
9783319412931
Published
Switzerland : Springer, 2016.
Language
English
Description
1 online resource (xxii, 114 pages) : illustrations.
Call Number
QA221
Dewey Decimal Classification
511/.4
Summary
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. .
Note
"Doctoral thesis accepted by Technische Universität Darmstadt, Germany."
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed August 4, 2016).
Series
Springer theses.
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Online Access
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Table of Contents
Introduction
Magnetoquasistatic Approximation of Maxwell's Equations, Uncertainty Quantification Principles
Magnetoquasistatic Model and its Numerical Approximation
Parametric Model, Continuity and First Order Sensitivity Analysis
Uncertainty Quantification
Uncertainty Quantification for Magnets
Conclusion and Outlook.
Magnetoquasistatic Approximation of Maxwell's Equations, Uncertainty Quantification Principles
Magnetoquasistatic Model and its Numerical Approximation
Parametric Model, Continuity and First Order Sensitivity Analysis
Uncertainty Quantification
Uncertainty Quantification for Magnets
Conclusion and Outlook.