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001 978-3-030-61939-8
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020 _a9783030619398
_9978-3-030-61939-8
024 7 _a10.1007/978-3-030-61939-8
_2doi
050 4 _aTK5101-5105.9
072 7 _aTJF
_2bicssc
072 7 _aTEC024000
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082 0 4 _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
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.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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
650 0 _aNumerical analysis.
_94603
650 0 _aParticle accelerators.
_919440
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
856 4 0 _uhttps://doi.org/10.1007/978-3-030-61939-8
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c77958
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