Boundary element methods for electrical engineers
In the last couple of decades the Boundary Element Method (BEM) has become a well-established technique that is widely used for solving various problems in electrical engineering and electromagnetics. Although there are many excellent research papers published in the relevant literature that describ...
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| Main Authors | , |
|---|---|
| Format | eBook Book |
| Language | English |
| Published |
Southampton
WIT Press
2005
|
| Edition | 1 |
| Series | Advances in electrical engineering and electromagnetics |
| Subjects | |
| Online Access | Get full text |
| ISBN | 1845640330 9781845640330 |
| ISSN | 1742-3783 |
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| Abstract | In the last couple of decades the Boundary Element Method (BEM) has become a well-established technique that is widely used for solving various problems in electrical engineering and electromagnetics. Although there are many excellent research papers published in the relevant literature that describe various BEM applications in electrical engineering and electromagnetics, there has been a lack of suitable textbooks and monographs on the subject. This book presents BEM in a simple fashion in order to help the beginner to understand the very basic principles of the method. It initially derives BEM for the simplest potential problems and subsequently builds on these to formulate BEM for a wide range of applications in electromagnetics. The book aims to introduce both undergraduate and graduate students to the BEM fundamentals in a way that enables the reader to solve more complex problems on their own. In addition, it will serve as a useful text to enable professional engineers and research students to make full use of BEM in electrical engineering. |
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| AbstractList | In the last couple of decades the Boundary Element Method (BEM) has become a well-established technique that is widely used for solving various problems in electrical engineering and electromagnetics. Although there are many excellent research papers published in the relevant literature that describe various BEM applications in electrical engineering and electromagnetics, there has been a lack of suitable textbooks and monographs on the subject. This book presents BEM in a simple fashion in order to help the beginner to understand the very basic principles of the method. It initially derives BEM for the simplest potential problems and subsequently builds on these to formulate BEM for a wide range of applications in electromagnetics. The book aims to introduce both undergraduate and graduate students to the BEM fundamentals in a way that enables the reader to solve more complex problems on their own. In addition, it will serve as a useful text to enable professional engineers and research students to make full use of BEM in electrical engineering. This book presents BEM in a simple fashion in order to help the beginner to understand the very basic principles of the method. It initially derives BEM for the simplest potential problems and subsequently builds on these to formulate BEM for a wide range of applications in electromagnetics. |
| Author | Brebbia, C. A Poljak, D |
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| ISBN | 1845640330 9781845640330 |
| ISSN | 1742-3783 |
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| Notes | Includes bibliographical references |
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| PublicationPlace | Southampton |
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| PublicationSeriesTitle | Advances in electrical engineering and electromagnetics |
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| Snippet | In the last couple of decades the Boundary Element Method (BEM) has become a well-established technique that is widely used for solving various problems in... This book presents BEM in a simple fashion in order to help the beginner to understand the very basic principles of the method. It initially derives BEM for... |
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| SubjectTerms | Boundary element methods |
| SubjectTermsDisplay | Boundary element methods |
| TableOfContents | Boundary element methods for electrical engineers -- Contents -- Preface -- Chapter 1: Introduction to the Boundary Element Method -- Chapter 2: Approximate Methods -- Chapter 3: Basic laws in electromagnetics -- Chapter 4: Potential problems - electrostatic and magnetostatic analysis -- Chapter 5: Quasistatic problems - analysis of eddy currents -- Chapter 6: Electromagnetic scattering problems -- Chapter 7: Radiation problems - analysis of wire antennas -- Chapter 8: Assessment of human exposure to electromagnetic fields. Cover -- Boundary Element Methods for Electrical Engineers -- Copyright Page -- Contents -- Preface -- Chapter 1: Introduction to the Boundary Element Method -- Chapter 2: Approximate Methods -- 2.1 Basic concepts -- 2.2 Approximate solutions -- 2.3 Weak formulations -- Chapter 3: Basic laws in electromagnetics -- 3.1 Differential form of Maxwell equations -- 3.2 Integral form of Maxwell equations -- 3.3 Maxwell equations for moving media -- 3.4 The continuity equation -- 3.5 Ohm's law -- 3.6 Conservation law in the electromagnetic field -- 3.7 The electromagnetic wave equations -- 3.8 Boundary relationships for discontinuities in material properties -- 3.9 The electromagnetic potentials -- 3.10 Boundary relationships for potential functions -- 3.11 Potential wave equations -- 3.12 Retarded potentials -- 3.13 General boundary conditions and uniqueness theorem -- 3.14 Electric and magnetic walls -- 3.15 The Lagrangian form of electromagnetic field laws -- 3.16 Complex phasor notation of time-harmonic electromagnetic fields -- 3.17 Plane wave propagation -- 3.18 Radiation -- Chapter 4: Potential problems - electrostatic and magnetostatic analysis -- 4.1 Electrostatic fields -- 4.2 Magnetostatic fields -- 4.3 Integral equation formulation -- 4.4 Boundary element discretization -- 4.5 Modelling of static field problems -- Chapter 5: Quasistatic problems - analysis of eddy currents -- 5.1 Introduction -- 5.2 Formulation of the quasistatic problem -- 5.3 Integral equation representation of the Helmholtz equation -- 5.4 Numerical example -- Chapter 6: Electromagnetic scattering problems -- 6.1 The electromagnetic wave equations -- 6.2 Complex phasor form of the wave equations -- 6.3 Two-dimensional scattering from a perfectly conducting cylinder of arbitrary cross-section -- 6.4 Solution by the Indirect Boundary Element Method -- 6.5 Numerical example Chapter 7: Radiation problems - analysis of wire antennas -- 7.1 Introduction -- 7.2 Basic theory of wire antennas -- 7.3 Indirect boundary element modelling -- 7.4 Computational examples for wires in free space -- 7.5 Multiple straight wire antennas over a lossy half-space -- 7.6 Computational examples for wires above a lossy half-space -- Chapter 8: Assessment of human exposure to electromagnetic fields -- 8.1 Introduction -- 8.2 Electromagnetic model of the human body -- 8.3 Absorbed power inside the human body for LF and HF exposures -- 8.4 The low frequency fields (ELF and VLF exposures) -- 8.5 The high frequency fields (RF and GSM exposures) -- 8.6 Examples of human exposure to LF and RF fields |
| Title | Boundary element methods for electrical engineers |
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