By Ulrich Römer
ISBN-10: 3319412930
ISBN-13: 9783319412931
This publication provides a accomplished mathematical strategy for fixing stochastic magnetic box difficulties. It discusses variability in fabric houses and geometry, with an emphasis at the maintenance of structural actual and mathematical homes. It particularly addresses uncertainties within the computing device simulation of magnetic fields originating from the producing procedure. Uncertainties are quantified by means of approximating a stochastic reformulation of the governing partial differential equation, demonstrating how information of actual amounts of curiosity, comparable to Fourier harmonics in accelerator magnets, can be utilized to accomplish strong designs. The publication covers a couple of key equipment and effects corresponding to: a stochastic version of the geometry and fabric houses of magnetic units in response to dimension info; a close description of numerical algorithms in line with sensitivities or on a higher-order collocation; an research of convergence and potency; and the applying of the constructed version and algorithms to uncertainty quantification within the complicated magnet structures utilized in particle accelerators.
Read or Download Numerical Approximation of the Magnetoquasistatic Model with Uncertainties: Applications in Magnet Design (Springer Theses) PDF
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Numerical Approximation of the Magnetoquasistatic Model with Uncertainties: Applications in Magnet Design (Springer Theses) by Ulrich Römer
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