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Analysis and implementation of isoge...

Wolf, Felix.

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Analysis and implementation of isogeometric boundary elements for electromagnetism

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analysis and implementation of isogeometric boundary elements for electromagnetism/ by Felix Wolf.
Author:	Wolf, Felix.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xx, 128 p. :ill., digital ;24 cm.
[NT 15003449]:	Foundations -- Isogeometric Boundary Elements -- Algorithmic Considerations for Matrix Assembly -- The Discrete Eigenvalue Problem.
Contained By:	Springer Nature eBook
Subject:	Electromagnetism - Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-61939-8
ISBN:	9783030619398

Analysis and implementation of isogeometric boundary elements for electromagnetism
Wolf, Felix.

Analysis and implementation of isogeometric boundary elements for electromagnetism[electronic resource] /by Felix Wolf. - Cham :Springer International Publishing :2021. - xx, 128 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Foundations -- Isogeometric Boundary Elements -- Algorithmic Considerations for Matrix Assembly -- The Discrete Eigenvalue Problem.

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.

ISBN: 9783030619398

Standard No.: 10.1007/978-3-030-61939-8doiSubjects--Topical Terms:

546287
Electromagnetism
--Mathematics.

LC Class. No.: QC760.4.M37 / W65 2021

Dewey Class. No.: 537.0151

Analysis and implementation of isogeometric boundary elements for electromagnetism
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490 1 $a Springer theses, $x 2190-5053
505 0 $a Foundations -- Isogeometric Boundary Elements -- Algorithmic Considerations for Matrix Assembly -- The Discrete Eigenvalue Problem.
520 $a 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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