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Numerical Approximation of the Magnetoquasistatic Model with Uncertainties

Language EnglishEnglish
Book Hardback
Book Numerical Approximation of the Magnetoquasistatic Model with Uncertainties Ulrich Römer
Libristo code: 12580246
Publishers Springer International Publishing AG, July 2016
This book presents a comprehensive mathematical approach for solving stochastic magnetic field probl... Full description
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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.??

About the book

Full name Numerical Approximation of the Magnetoquasistatic Model with Uncertainties
Author Ulrich Römer
Language English
Binding Book - Hardback
Date of issue 2016
Number of pages 114
EAN 9783319412931
ISBN 3319412930
Libristo code 12580246
Weight 3317
Dimensions 155 x 235 x 12
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