LEADER 03117nam 2200481 450 001 9910484267303321 005 20210316121750.0 010 $a3-030-61939-7 024 7 $a10.1007/978-3-030-61939-8 035 $a(CKB)5410000000054444 035 $a(MiAaPQ)EBC6417128 035 $a(DE-He213)978-3-030-61939-8 035 $a(PPN)252508262 035 $a(EXLCZ)995410000000054444 100 $a20210316d2021 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalysis and implementation of isogeometric boundary elements for electromagnetism /$fFelix Wolf 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$dİ2021 215 $a1 online resource (XX, 128 p. 38 illus., 25 illus. in color.) 225 1 $aSpringer Theses 311 $a3-030-61938-9 327 $aFoundations -- Isogeometric Boundary Elements -- Algorithmic Considerations for Matrix Assembly -- The Discrete Eigenvalue Problem. 330 $aThis book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems. After an in-depth introduction to the mathematical foundations of isogeometric analysis, which discusses how to conduct higher-order simulations efficiently and without the introduction of geometrical errors, the book proves quasi-optimal approximation properties for all trace spaces of the de Rham sequence, and demonstrates inf-sup stability of the isogeometric discretisation of the electric field integral equation (EFIE). Theoretical properties and algorithms are described in detail. The algorithmic approach is, in turn, validated through a series of numerical experiments aimed at solving a set of electromagnetic scattering problems. In the last part of the book, the boundary element method is combined with a novel eigenvalue solver, a so-called contour integral method. An algorithm is presented, together with a set of successful numerical experiments, showing that the eigenvalue solver benefits from the high orders of convergence offered by the boundary element approach. Last, the resulting software, called BEMBEL (Boundary Element Method Based Engineering Library), is reviewed: the user interface is presented, while the underlying design considerations are explained in detail. Given its scope, this book bridges an important gap between numerical analysis and engineering design of electromagnetic devices. 410 0$aSpringer theses. 606 $aElectromagnetism$xMathematics 606 $aBoundary element methods 615 0$aElectromagnetism$xMathematics. 615 0$aBoundary element methods. 676 $a537.0151 700 $aWolf$b Felix$01223402 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484267303321 996 $aAnalysis and Implementation of Isogeometric Boundary Elements for Electromagnetism$92837927 997 $aUNINA