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_a10.1007/978-3-319-41294-8 _2doi |
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_aQA221 _b.R66 2016 EB |
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| 082 | 0 | 4 | _a621.3 |
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_aRömer, Ulrich _999792 _0Local |
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_aNumerical Approximation of the Magnetoquasistatic Model with Uncertainties : _bApplications in Magnet Design _cby Ulrich Römer |
| 260 |
_aCham _bSpringer International Publishing _c2016 |
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| 300 |
_a1 recurso en línea (XXII, 114 p.) _b20 ilustraciones, 8 ilustraciones en color |
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_aTexto (visual) _btxt _2rdacontent |
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_arecurso electrónico _bcr _2rdacarrier |
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_aSpringer Theses, Recognizing Outstanding Ph.D. Research _x2190-5053 |
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| 505 | 0 | _aIntroduction -- 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 | |
| 520 | _aThis 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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_aAceleradores de partículas _9139563 _0comprobar BNE19900973975 _2embne |
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_aAnálisis estructural (Ingeniería) _0comprobar BNE19951016435 _2embne _9150495 |
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_aSpringer Theses, Recognizing Outstanding Ph.D. Research _x2190-5053 _9133434 |
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