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Numerical Approximation of the Magnetoquasistatic Model with Uncertainties - Applications in Magnet Design (Hardcover, 1st ed. 2016)
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Numerical Approximation of the Magnetoquasistatic Model with Uncertainties - Applications in Magnet Design (Hardcover, 1st ed. 2016)
Series: Springer Theses
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Total price: R3,419
Discovery Miles: 34 190
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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.
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