Numerical Methods In Electromagnetism

Author : M. V.K. Chari,Sheppard Salon
Publisher : Academic Press
Page : 783 pages
File Size : 48,5 Mb
Release : 2000
Category : Mathematics
ISBN : 9780126157604

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Numerical Methods in Electromagnetism by M. V.K. Chari,Sheppard Salon Pdf

Electromagnetics is the foundation of our electric technology. It describes the fundamental principles upon which electricity is generated and used. This includes electric machines, high voltage transmission, telecommunication, radar, and recording and digital computing. Numerical Methods in Electromagnetism will serve both as an introductory text for graduate students and as a reference book for professional engineers and researchers. This book leads the uninitiated into the realm of numerical methods for solving electromagnetic field problems by examples and illustrations. Detailed descriptions of advanced techniques are also included for the benefit of working engineers and research students. Comprehensive descriptions of numerical methods In-depth introduction to finite differences, finite elements, and integral equations Illustrations and applications of linear and nonlinear solutions for multi-dimensional analysis Numerical examples to facilitate understanding of the methods Appendices for quick reference of mathematical and numerical methods employed

Author : Matthew N.O. Sadiku
Publisher : CRC Press
Page : 764 pages
File Size : 46,9 Mb
Release : 2000-07-12
Category : Technology & Engineering
ISBN : 0849313953

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Numerical Techniques in Electromagnetics, Second Edition by Matthew N.O. Sadiku Pdf

As the availability of powerful computer resources has grown over the last three decades, the art of computation of electromagnetic (EM) problems has also grown - exponentially. Despite this dramatic growth, however, the EM community lacked a comprehensive text on the computational techniques used to solve EM problems. The first edition of Numerical Techniques in Electromagnetics filled that gap and became the reference of choice for thousands of engineers, researchers, and students. The Second Edition of this bestselling text reflects the continuing increase in awareness and use of numerical techniques and incorporates advances and refinements made in recent years. Most notable among these are the improvements made to the standard algorithm for the finite difference time domain (FDTD) method and treatment of absorbing boundary conditions in FDTD, finite element, and transmission-line-matrix methods. The author also added a chapter on the method of lines. Numerical Techniques in Electromagnetics continues to teach readers how to pose, numerically analyze, and solve EM problems, give them the ability to expand their problem-solving skills using a variety of methods, and prepare them for research in electromagnetism. Now the Second Edition goes even further toward providing a comprehensive resource that addresses all of the most useful computation methods for EM problems.

Author : Pei-bai Zhou
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642503191

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Numerical Analysis of Electromagnetic Fields by Pei-bai Zhou Pdf

Numerical methods for solving boundary value problems have developed rapidly. Knowledge of these methods is important both for engineers and scientists. There are many books published that deal with various approximate methods such as the finite element method, the boundary element method and so on. However, there is no textbook that includes all of these methods. This book is intended to fill this gap. The book is designed to be suitable for graduate students in engineering science, for senior undergraduate students as well as for scientists and engineers who are interested in electromagnetic fields. Objective Numerical calculation is the combination of mathematical methods and field theory. A great number of mathematical concepts, principles and techniques are discussed and many computational techniques are considered in dealing with practical problems. The purpose of this book is to provide students with a solid background in numerical analysis of the field problems. The book emphasizes the basic theories and universal principles of different numerical methods and describes why and how different methods work. Readers will then understand any methods which have not been introduced and will be able to develop their own new methods. Organization Many of the most important numerical methods are covered in this book. All of these are discussed and compared with each other so that the reader has a clear picture of their particular advantage, disadvantage and the relation between each of them. The book is divided into four parts and twelve chapters.

Author : Anders Bondeson,Thomas Rylander,Pär Ingelström
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 54,6 Mb
Release : 2006-02-07
Category : Mathematics
ISBN : 9780387261607

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Computational Electromagnetics by Anders Bondeson,Thomas Rylander,Pär Ingelström Pdf

Describes most popular computational methods used to solve problems in electromagnetics Matlab code is included throughout, so that the reader can implement the various techniques discussed Exercises included

Author : W.H.A. SCHILDERS,E.J.W. TER MATEN
Publisher : Elsevier
Page : 928 pages
File Size : 54,5 Mb
Release : 2005-04-04
Category : Technology & Engineering
ISBN : 9780080459158

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Numerical Methods in Electromagnetics by W.H.A. SCHILDERS,E.J.W. TER MATEN Pdf

This special volume provides a broad overview and insight in the way numerical methods are being used to solve the wide variety of problems in the electronics industry. Furthermore its aim is to give researchers from other fields of application the opportunity to benefit from the results wich have been obtained in the electronics industry. * Complete survey of numerical methods used in the electronic industry * Each chapter is selfcontained * Presents state-of-the-art applications and methods * Internationally recognised authors

Author : Umran S. Inan,Robert A. Marshall
Publisher : Cambridge University Press
Page : 405 pages
File Size : 50,9 Mb
Release : 2011-04-07
Category : Science
ISBN : 9781139497985

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Numerical Electromagnetics by Umran S. Inan,Robert A. Marshall Pdf

Beginning with the development of finite difference equations, and leading to the complete FDTD algorithm, this is a coherent introduction to the FDTD method (the method of choice for modeling Maxwell's equations). It provides students and professional engineers with everything they need to know to begin writing FDTD simulations from scratch and to develop a thorough understanding of the inner workings of commercial FDTD software. Stability, numerical dispersion, sources and boundary conditions are all discussed in detail, as are dispersive and anisotropic materials. A comparative introduction of the finite volume and finite element methods is also provided. All concepts are introduced from first principles, so no prior modeling experience is required, and they are made easier to understand through numerous illustrative examples and the inclusion of both intuitive explanations and mathematical derivations.

Author : Jian-Ming Jin
Publisher : John Wiley & Sons
Page : 744 pages
File Size : 52,9 Mb
Release : 2015-08-10
Category : Science
ISBN : 9781119108085

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Theory and Computation of Electromagnetic Fields by Jian-Ming Jin Pdf

Reviews the fundamental concepts behind the theory and computation of electromagnetic fields The book is divided in two parts. The first part covers both fundamental theories (such as vector analysis, Maxwell’s equations, boundary condition, and transmission line theory) and advanced topics (such as wave transformation, addition theorems, and fields in layered media) in order to benefit students at all levels. The second part of the book covers the major computational methods for numerical analysis of electromagnetic fields for engineering applications. These methods include the three fundamental approaches for numerical analysis of electromagnetic fields: the finite difference method (the finite difference time-domain method in particular), the finite element method, and the integral equation-based moment method. The second part also examines fast algorithms for solving integral equations and hybrid techniques that combine different numerical methods to seek more efficient solutions of complicated electromagnetic problems. Theory and Computation of Electromagnetic Fields, Second Edition: Provides the foundation necessary for graduate students to learn and understand more advanced topics Discusses electromagnetic analysis in rectangular, cylindrical and spherical coordinates Covers computational electromagnetics in both frequency and time domains Includes new and updated homework problems and examples Theory and Computation of Electromagnetic Fields, Second Edition is written for advanced undergraduate and graduate level electrical engineering students. This book can also be used as a reference for professional engineers interested in learning about analysis and computation skills.

Author : Andrew F. Peterson,Scott L. Ray,Raj Mittra
Publisher : Universities Press
Page : 600 pages
File Size : 41,8 Mb
Release : 2001
Category : Electromagnetism
ISBN : 8173713774

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Computational Methods for Electromagnetics by Andrew F. Peterson,Scott L. Ray,Raj Mittra Pdf

This book is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment, Employing a unified and coherent approach that is unmatched in the field, the authors deatil both integral and differential equations using the method-of-moments and finite-element procedures.

Author : Ramesh Garg
Publisher : Artech House
Page : 528 pages
File Size : 43,6 Mb
Release : 2008
Category : Electromagnetic waves
ISBN : 9781596933866

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Analytical and Computational Methods in Electromagnetics by Ramesh Garg Pdf

Achieve optimal microwave system performance by mastering the principles and methods underlying today's powerful computational tools and commercial software in electromagnetics. This authoritative resource offers you clear and complete explanation of this essential electromagnetics knowledge, providing you with the analytical background you need to understand such key approaches as MoM (method of moments), FDTD (Finite Difference Time Domain) and FEM (Finite Element Method), and Green's functions. This comprehensive book includes all math necessary to master the material. Moreover, it features numerous solved problems that help ensure your understanding of key concepts throughout the book.

Author : Alfredo Bermúdez de Castro,Dolores Gomez,Pilar Salgado
Publisher : Springer
Page : 432 pages
File Size : 55,5 Mb
Release : 2014-07-22
Category : Mathematics
ISBN : 9783319029498

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Mathematical Models and Numerical Simulation in Electromagnetism by Alfredo Bermúdez de Castro,Dolores Gomez,Pilar Salgado Pdf

The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations that should be solved in order to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electric engineering applications, going from the general to the specific, namely, from the full Maxwell’s equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standard exercises related to analytical calculus, the book includes some others oriented to real-life applications solved with MaxFEM free simulation software.

Author : Karl F. Warnick
Publisher : Artech House
Page : 234 pages
File Size : 42,5 Mb
Release : 2008
Category : Mathematics
ISBN : 9781596933347

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Numerical Analysis for Electromagnetic Integral Equations by Karl F. Warnick Pdf

Introduction -- Surface integral equation formulations and the method of moments -- Error analysis of the EFIE / with W.C. Chew -- Error analysis of the MFIE and CFIE / with C.P. Davis -- Geometrical singularities and the flat strip -- Resonant structures -- Error analysis for 3D problems -- Higher-order basis functions / with A.F. Peterson -- Operator spectra and iterative solution methods.

Author : Stanley Humphries Jr.
Publisher : CRC Press
Page : 404 pages
File Size : 47,8 Mb
Release : 2020-09-23
Category : Technology & Engineering
ISBN : 9781000144413

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Field Solutions on Computers by Stanley Humphries Jr. Pdf

Field Solutions on Computers covers a broad range of practical applications involving electric and magnetic fields. The text emphasizes finite-element techniques to solve real-world problems in research and industry. After introducing numerical methods with a thorough treatment of electrostatics, the book moves in a structured sequence to advanced topics. These include magnetostatics with non-linear materials, permanent magnet devices, RF heating, eddy current analysis, electromagnetic pulses, microwave structures, and wave scattering. The mathematical derivations are supplemented with chapter exercises and comprehensive reviews of the underlying physics. The book also covers essential supporting techniques such as mesh generation, interpolation, sparse matrix inversions, and advanced plotting routines.

Author : Zijad Haznadar,Željko Štih
Publisher : Unknown
Page : 436 pages
File Size : 43,9 Mb
Release : 2000
Category : Electromagnetic fields
ISBN : UOM:39015053111467

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Electromagnetic Fields, Waves, and Numerical Methods by Zijad Haznadar,Željko Štih Pdf

Author : Mei Song Tong,Weng Cho Chew
Publisher : John Wiley & Sons
Page : 522 pages
File Size : 48,7 Mb
Release : 2020-08-10
Category : Science
ISBN : 9781119284840

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The Nystrom Method in Electromagnetics by Mei Song Tong,Weng Cho Chew Pdf

A comprehensive, step-by-step reference to the Nyström Method for solving Electromagnetic problems using integral equations Computational electromagnetics studies the numerical methods or techniques that solve electromagnetic problems by computer programming. Currently, there are mainly three numerical methods for electromagnetic problems: the finite-difference time-domain (FDTD), finite element method (FEM), and integral equation methods (IEMs). In the IEMs, the method of moments (MoM) is the most widely used method, but much attention is being paid to the Nyström method as another IEM, because it possesses some unique merits which the MoM lacks. This book focuses on that method—providing information on everything that students and professionals working in the field need to know. Written by the top researchers in electromagnetics, this complete reference book is a consolidation of advances made in the use of the Nyström method for solving electromagnetic integral equations. It begins by introducing the fundamentals of the electromagnetic theory and computational electromagnetics, before proceeding to illustrate the advantages unique to the Nyström method through rigorous worked out examples and equations. Key topics include quadrature rules, singularity treatment techniques, applications to conducting and penetrable media, multiphysics electromagnetic problems, time-domain integral equations, inverse scattering problems and incorporation with multilevel fast multiple algorithm. Systematically introduces the fundamental principles, equations, and advantages of the Nyström method for solving electromagnetic problems Features the unique benefits of using the Nyström method through numerical comparisons with other numerical and analytical methods Covers a broad range of application examples that will point the way for future research The Nystrom Method in Electromagnetics is ideal for graduate students, senior undergraduates, and researchers studying engineering electromagnetics, computational methods, and applied mathematics. Practicing engineers and other industry professionals working in engineering electromagnetics and engineering mathematics will also find it to be incredibly helpful.

Author : M Cessenat
Publisher : World Scientific
Page : 396 pages
File Size : 48,6 Mb
Release : 1996-07-13
Category : Electronic
ISBN : 9789814525381

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Mathematical Methods in Electromagnetism by M Cessenat Pdf

This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a numerical approach. As examples of applications of these tools and concepts, we solve several fundamental problems of electromagnetism, stationary or time-dependent: scattering of an incident wave by an obstacle, bounded or not, by gratings; wave propagation in a waveguide, with junctions and cascades. We hope that mathematical notions will allow a better understanding of modelization in electromagnetism and emphasize the essential features related to the geometry and nature of materials. Contents:Mathematical Modelling of the Electromagnetic Field in Continuous Media: Maxwell Equations and Constitutive RelationsMathematical Framework for ElectromagnetismStationary Scattering Problems with Bounded ObstaclesWaveguide ProblemsStationary Scattering Problems on Unbounded ObstaclesEvolution ProblemsAppendix — Differential Geometry for ElectromagnetismReferencesIndexNotations Readership: Applied mathematicians. keywords:Electromagnetism;Mathematical Modeling;Maxwell Equations;Variational Methods;Differential Geometry;Hodge Decomposition;Impedance Operators;Calderon Operators;Waveguides;Scattering;Outgoing Waves;Causal Problems “I would recommend it to anyone interested in the analysis or numerical analysis of Maxwell's equations for its up-to-date and extensive treatment of the problem.” SIAM Reviews