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Numerical approximation of the magnetoquasistatic model with uncertainties[electronic resource] :applications in magnet design /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	511.4
書名/作者:	Numerical approximation of the magnetoquasistatic model with uncertainties : applications in magnet design // by Ulrich Romer.
作者:	Romer, Ulrich.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xxii, 114 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Approximation theory.
標題:	Measurement uncertainty (Statistics)
標題:	Engineering.
標題:	Microwaves, RF and Optical Engineering.
標題:	Structural Mechanics.
標題:	Engineering Design.
標題:	Particle Acceleration and Detection, Beam Physics.
ISBN:	9783319412948
ISBN:	9783319412931
內容註:	Introduction -- Magnetoquasistatic Approximation of Maxwell's Equations, Uncertainty Quantification Principles -- Magnetoquasistatic Model and its Numerical Approximation -- Parametric Model, Continuity and First Order Sensitivity Analysis -- Uncertainty Quantification -- Uncertainty Quantification for Magnets -- Conclusion and Outlook.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-41294-8

Numerical approximation of the magnetoquasistatic model with uncertainties[electronic resource] :applications in magnet design /
Romer, Ulrich.

Numerical approximation of the magnetoquasistatic model with uncertaintiesapplications in magnet design /[electronic resource] :by Ulrich Romer. - Cham :Springer International Publishing :2016. - xxii, 114 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Introduction -- Magnetoquasistatic Approximation of Maxwell's Equations, Uncertainty Quantification Principles -- Magnetoquasistatic Model and its Numerical Approximation -- Parametric Model, Continuity and First Order Sensitivity Analysis -- Uncertainty Quantification -- Uncertainty Quantification for Magnets -- Conclusion and Outlook.

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.

ISBN: 9783319412948

Standard No.: 10.1007/978-3-319-41294-8doiSubjects--Topical Terms:

405338
Approximation theory.

LC Class. No.: QA221

Dewey Class. No.: 511.4

Numerical approximation of the magnetoquasistatic model with uncertainties[electronic resource] :applications in magnet design /
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520 $a 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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