Numerical Approximation of the Magnetoquasistatic Model with Uncertainties - Applications in Magnet Design (Hardcover, 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Theses
Release date:	August 2016
First published:	2016
Authors:	Ulrich Roemer
Dimensions:	235 x 155 x 10mm (L x W x T)
Format:	Hardcover
Pages:	114
Edition:	1st ed. 2016
ISBN-13:	978-3-319-41293-1
Categories:	Books > Science & Mathematics > Physics > Particle & high-energy physics Books > Professional & Technical > Technology: general issues > Technical design > General Books > Professional & Technical > Mechanical engineering & materials > Mechanical engineering > General
LSN:	3-319-41293-0
Barcode:	9783319412931

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