| 书目名称 | Numerical Approximation of the Magnetoquasistatic Model with Uncertainties |
| 副标题 | Applications in Magn |
| 编辑 | Ulrich Römer |
| 视频video | |
| 概述 | Nominated as an outstanding PhD thesis by Technische Universität Darmstadt, Germany.Proposes a mathematical approach for quantifying uncertainties in magnetic fields.Includes relevant numerical exampl |
| 丛书名称 | Springer Theses |
| 图书封面 |  |
| 描述 | .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... . |
| 出版日期 | Book 2016 |
| 关键词 | Nonlinear Magnetoquasistatic Problem; Magnetoquasistatic Approximation; Uncertain Material Properties; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-41294-8 |
| isbn_softcover | 978-3-319-82316-4 |
| isbn_ebook | 978-3-319-41294-8Series ISSN 2190-5053 Series E-ISSN 2190-5061 |
| issn_series | 2190-5053 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:46:56
