Authors:
- Nominated as an outstanding Ph.D. thesis by Technische Universität Darmstadt, Germany
- Presents new mathematical findings relating to isogeometric analysis
- Offers new theoretical insights into isogeometric analysis
- Describes a comprehensive algorithmic approach for solving relevant engineering problems
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
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 algorithmis 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.
Authors and Affiliations
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Institute TEMF and Centre for Computational Engineering, Technical University of Darmstadt, Darmstadt, Germany
Felix Wolf
Bibliographic Information
Book Title: Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism
Authors: Felix Wolf
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-030-61939-8
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-61938-1Published: 01 December 2020
Softcover ISBN: 978-3-030-61941-1Published: 02 December 2021
eBook ISBN: 978-3-030-61939-8Published: 30 November 2020
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XX, 128
Number of Illustrations: 13 b/w illustrations, 25 illustrations in colour
Topics: Microwaves, RF and Optical Engineering, Numerical Analysis, Particle Acceleration and Detection, Beam Physics