Click Here to Download: https://ouo.io/vCaDoq Numerical Approximation of the Magnetoquasistatic Model with Uncertainties Applications in Magnet Design By: Ulrich Römer Publisher: Springer Print ISBN: 9783319412931, 3319412930 eText ISBN: 9783319412948, 3319412949 Copyright year: 2016 Format: PDF Available from $ 149.00 USD SKU 9783319412948 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.
