| 000 | 03623nam a22005775i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-41294-8 | ||
| 003 | DE-He213 | ||
| 005 | 20220801214452.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160727s2016 sz | s |||| 0|eng d | ||
| 020 |
_a9783319412948 _9978-3-319-41294-8 |
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| 024 | 7 |
_a10.1007/978-3-319-41294-8 _2doi |
|
| 050 | 4 | _aTK5101-5105.9 | |
| 072 | 7 |
_aTJF _2bicssc |
|
| 072 | 7 |
_aTEC024000 _2bisacsh |
|
| 072 | 7 |
_aTJF _2thema |
|
| 082 | 0 | 4 |
_a621.3 _223 |
| 100 | 1 |
_aRömer, Ulrich. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _938540 |
|
| 245 | 1 | 0 |
_aNumerical Approximation of the Magnetoquasistatic Model with Uncertainties _h[electronic resource] : _bApplications in Magnet Design / _cby Ulrich Römer. |
| 250 | _a1st ed. 2016. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2016. |
|
| 300 |
_aXXII, 114 p. 20 illus., 8 illus. in color. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5061 |
|
| 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. . | ||
| 650 | 0 |
_aTelecommunication. _910437 |
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| 650 | 0 |
_aMechanics, Applied. _93253 |
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| 650 | 0 |
_aSolids. _93750 |
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| 650 | 0 |
_aEngineering design. _93802 |
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| 650 | 0 |
_aParticle accelerators. _919440 |
|
| 650 | 1 | 4 |
_aMicrowaves, RF Engineering and Optical Communications. _931630 |
| 650 | 2 | 4 |
_aSolid Mechanics. _931612 |
| 650 | 2 | 4 |
_aEngineering Design. _93802 |
| 650 | 2 | 4 |
_aAccelerator Physics. _938541 |
| 710 | 2 |
_aSpringerLink (Online service) _938542 |
|
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319412931 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319412955 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319823164 |
| 830 | 0 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5061 _938543 |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-41294-8 |
| 912 | _aZDB-2-ENG | ||
| 912 | _aZDB-2-SXE | ||
| 942 | _cEBK | ||
| 999 |
_c76380 _d76380 |
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