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Books > Science & Mathematics > Physics > Particle & high-energy physics
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Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism (Paperback, 1st ed. 2021)
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Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism (Paperback, 1st ed. 2021)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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This 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.
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