000 | 03744nam a22005415i 4500 | ||
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001 | 978-3-030-61939-8 | ||
003 | DE-He213 | ||
005 | 20220801215858.0 | ||
007 | cr nn 008mamaa | ||
008 | 201130s2021 sz | s |||| 0|eng d | ||
020 |
_a9783030619398 _9978-3-030-61939-8 |
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024 | 7 |
_a10.1007/978-3-030-61939-8 _2doi |
|
050 | 4 | _aTK5101-5105.9 | |
072 | 7 |
_aTJF _2bicssc |
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_aTEC024000 _2bisacsh |
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_aTJF _2thema |
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_a621.3 _223 |
100 | 1 |
_aWolf, Felix. _eauthor. _0(orcid)0000-0001-6595-3599 _1https://orcid.org/0000-0001-6595-3599 _4aut _4http://id.loc.gov/vocabulary/relators/aut _947002 |
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245 | 1 | 0 |
_aAnalysis and Implementation of Isogeometric Boundary Elements for Electromagnetism _h[electronic resource] / _cby Felix Wolf. |
250 | _a1st ed. 2021. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2021. |
|
300 |
_aXX, 128 p. 38 illus., 25 illus. in color. _bonline resource. |
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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 |
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490 | 1 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5061 |
|
505 | 0 | _aFoundations -- Isogeometric Boundary Elements -- Algorithmic Considerations for Matrix Assembly -- The Discrete Eigenvalue Problem. | |
520 | _aThis book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems. After an in-depth introduction to the mathematical foundations of isogeometric analysis, which discusses how to conduct higher-order simulations efficiently and without the introduction of geometrical errors, the book proves quasi-optimal approximation properties for all trace spaces of the de Rham sequence, and demonstrates inf-sup stability of the isogeometric discretisation of the electric field integral equation (EFIE). Theoretical properties and algorithms are described in detail. The algorithmic approach is, in turn, validated through a series of numerical experiments aimed at solving a set of electromagnetic scattering problems. In the last part of the book, the boundary element method is combined with a novel eigenvalue solver, a so-called contour integral method. An algorithm is presented, together with a set of successful numerical experiments, showing that the eigenvalue solver benefits from the high orders of convergence offered by the boundary element approach. Last, the resulting software, called BEMBEL (Boundary Element Method Based Engineering Library), is reviewed: the user interface is presented, while the underlying design considerations are explained in detail. Given its scope, this book bridges an important gap between numerical analysis and engineering design of electromagnetic devices. | ||
650 | 0 |
_aTelecommunication. _910437 |
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650 | 0 |
_aNumerical analysis. _94603 |
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650 | 0 |
_aParticle accelerators. _919440 |
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650 | 1 | 4 |
_aMicrowaves, RF Engineering and Optical Communications. _931630 |
650 | 2 | 4 |
_aNumerical Analysis. _94603 |
650 | 2 | 4 |
_aAccelerator Physics. _938541 |
710 | 2 |
_aSpringerLink (Online service) _947003 |
|
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783030619381 |
776 | 0 | 8 |
_iPrinted edition: _z9783030619404 |
776 | 0 | 8 |
_iPrinted edition: _z9783030619411 |
830 | 0 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5061 _947004 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-030-61939-8 |
912 | _aZDB-2-ENG | ||
912 | _aZDB-2-SXE | ||
942 | _cEBK | ||
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