Description 
XX, 128 p. 38 illus., 25 illus. in color. online resource 
Series 
Springer Theses, Recognizing Outstanding Ph.D. Research, 21905061 

Springer Theses, Recognizing Outstanding Ph.D. Research, 21905061

Contents 
Foundations  Isogeometric Boundary Elements  Algorithmic Considerations for Matrix Assembly  The Discrete Eigenvalue Problem 
Summary 
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 indepth introduction to the mathematical foundations of isogeometric analysis, which discusses how to conduct higherorder simulations efficiently and without the introduction of geometrical errors, the book proves quasioptimal approximation properties for all trace spaces of the de Rham sequence, and demonstrates infsup 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 socalled 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 
In 
Springer Nature eBook 
Subject 
Microwaves.


Optical engineering.


Numerical analysis.


Particle acceleration.

Form 
Electronic book

Author 
SpringerLink (Online service)

ISBN 
9783030619398 
