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020 _a9783030619398
024 7 _a10.1007/978-3-030-61939-8
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_erda
_dES-MaUEC
050 4 _aTA342
_b2021 EB
100 1 _aWolf, Felix
_eautor
_0(orcid)0000-0001-6595-3599
_1https://orcid.org/0000-0001-6595-3599
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9677931
245 1 0 _aAnalysis and Implementation of Isogeometric Boundary Elements for Electromagnetism
_cby Felix Wolf
250 _aFirst edition 2021
264 1 _aCham
_bSpringer International Publishing
_c2021
300 _a1 recurso en línea (XX, 128 páginas)
_b38 ilustraciones, 25 ilustraciones a color
336 _2rdacontent
_aTexto
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
347 _aarchivo de texto
_bPDF
490 0 _aSpringer Theses Recognizing Outstanding Ph.D. Research
_x2190-5053
490 0 _aEngineering (SpringerNature-11647)
490 0 _aEngineering (R0) (SpringerNature-43712)
505 0 _aFoundations -- Isogeometric Boundary Elements -- Algorithmic Considerations for Matrix Assembly -- The Discrete Eigenvalue Problem.
520 3 _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.
988 _aSpringer_Engineering_2021
650 7 _2embne
_aModelos matemáticos
_9405064
650 7 _2embne
_aElectromagnetismo
_9137999
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-030-61939-8
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
_n0
998 _b03/2021
_dz
_eb
_zSI