Numerical approximation of the magnetoquasistatic model with uncertainties [electronic resource] : applications in magnet design / Ulrich Römer.
Römer, Ulrich, author.
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
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.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed August 4, 2016).
Series Springer theses.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
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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.

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