The Resource Numerical approximation of the magnetoquasistatic model with uncertainties : applications in magnet design, Ulrich Römer

Numerical approximation of the magnetoquasistatic model with uncertainties : applications in magnet design, Ulrich Römer

Label
Numerical approximation of the magnetoquasistatic model with uncertainties : applications in magnet design
Title
Numerical approximation of the magnetoquasistatic model with uncertainties
Title remainder
applications in magnet design
Statement of responsibility
Ulrich Römer
Creator
Author
Subject
Genre
Language
eng
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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Römer, Ulrich
Dewey number
511/.4
Illustrations
illustrations
Index
no index present
LC call number
QA221
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer theses
http://library.link/vocab/subjectName
  • Approximation theory
  • Measurement uncertainty (Statistics)
  • MATHEMATICS
  • Approximation theory
  • Measurement uncertainty (Statistics)
  • Mechanics of solids
  • Technical design
  • Particle & high-energy physics
  • Microwave technology
Label
Numerical approximation of the magnetoquasistatic model with uncertainties : applications in magnet design, Ulrich Römer
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-41294-8
Instantiates
Publication
Note
"Doctoral thesis accepted by Technische Universität Darmstadt, Germany."
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (xxii, 114 pages)
File format
unknown
Form of item
online
Isbn
9783319412931
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-41294-8
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)954214874
  • (OCoLC)ocn954214874
Label
Numerical approximation of the magnetoquasistatic model with uncertainties : applications in magnet design, Ulrich Römer
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-41294-8
Publication
Note
"Doctoral thesis accepted by Technische Universität Darmstadt, Germany."
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (xxii, 114 pages)
File format
unknown
Form of item
online
Isbn
9783319412931
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-41294-8
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)954214874
  • (OCoLC)ocn954214874

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