Numerical Approximation of the Magnetoquasistatic Model with Uncertainties
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"Numerical Approximation of the Magnetoquasistatic Model with Uncertainties" by Ulrich Römer is a astronomy book and space science reference focused on Cosmology. Best for students, researchers, and serious astronomy enthusiasts.
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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"Numerical Approximation of the Magnetoquasistatic Model with Uncertainties" by Ulrich Römer is a astronomy book and space science reference focused on Cosmology. Best for students, researchers, and serious astronomy enthusiasts.
Topic: Cosmology
Author: Ulrich Römer
Who this is for:
- Astronomy students
- Researchers and advanced hobbyists
- Readers exploring space science topics
Why this book matters: It matters because it helps readers build a stronger understanding of astronomy concepts, observations, and scientific ideas related to space.
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.
| Author | Ulrich Römer |
| Publisher | Springer |
| Published | 2016-08-09 |
| ISBN-13 | 9783319412931 |
| Binding | Hardcover |
| Language | English |
| Subjects | Technology & Engineering |
| Topic | Cosmology |
| Series | Springer Theses |
Format: Hardcover
Language: English
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