Numerical Computation Of Electric And Magnetic Fields

Author : Charles W. Steele
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 45,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401571432

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Numerical Computation of Electric and Magnetic Fields by Charles W. Steele Pdf

For well over a decade, the numerical approach to field computation has been gaining progressively greater importance. Analytical methods offield compu tation are, at best, unable to accommodate the very wide variety of configura tions in which fields must be computed. On the other hand, numerical methods can accommodate many practical configurations that analytical methods cannot. With the advent of high-speed digital computers, numerical field computations have finally become practical. However, in order to implement numerical methods of field computation, we need algorithms, numerical methods, and mathematical tools that are largely quite different from those that have been traditionally used with analytical methods. Many of these algorithms have, in fact, been presented in the large number of papers that have been published on this subject in the last two decades. And to some of those who are already experienced in the art of numerical field computations, these papers, in addition to their own original work, are enough to give them the knowledge that they need to perform practical numerical field computations.

Author : K. J. Binns,P. J. Lawrenson
Publisher : Elsevier
Page : 337 pages
File Size : 42,8 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483151625

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Analysis and Computation of Electric and Magnetic Field Problems by K. J. Binns,P. J. Lawrenson Pdf

Analysis and Computation of Electric and Magnetic Field Problems, Second Edition is a comprehensive treatment of both analytical and numerical methods for the derivation of two-dimensional static and quasi-static electric and magnetic fields. The essence of each method of solution is emphasized and the scopes of the different methods are described, with particular regard to the influence of digital computers. This book is comprised of 12 chapters and begins with an introduction to the fundamental theory of electric and magnetic fields. The derivation of quantities of physical interest such as force, inductance, and capacitance from the field solution is explained. The next section deals with the methods of images and separation of variables and presents direct solutions of Laplace's equation and of Poisson's equation. The basic solutions are developed rigorously from considerations of surface charges and are expressed in complex variable form. Subsequent chapters discuss transformation methods as well as line and doublet sources; the transformation of regions exterior to finite boundaries; and the powerful numerical methods used to enlarge the scope of conformal transformation. The last section is devoted to finite difference methods and the Monte Carlo method, along with all classes of boundary shape and condition. This monograph is intended primarily for engineers, physicists, and mathematicians, as well as degree students towards the end of their courses.

Author : R. Belmans,A. Nicolet
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461519614

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Electric and Magnetic Fields by R. Belmans,A. Nicolet Pdf

This book contains the edited versions of the papers presented at the Second International Workshop on Electric and Magnetic Fields held at the Katholieke Universiteit van Leuven (Belgium) in May 1994. This Workshop deals with numerical solutions of electromagnetic problems in real life applications. The topics include coupled problems (thermal, mechanical, electric circuits), CAD & CAM applications, 3D eddy current and high frequency problems, optimisation and application oriented numerical problems. This workshop was organised jointly by the AIM (Association of Engineers graduated from de Montefiore Electrical Institute) together with the Departments of Electrical Engineering of the Katholieke Universiteit van Leuven (Prof. R. Belmans), the University of Gent (Prof. J. Melkebbek) and the University of Liege (Prof. W. Legros). These laboratories are working together in the framework of the Pole d'Attraction Interuniversitaire - Inter-University Attractie-Pole 51 - on electromagnetic systems led by the University of Liege and the research work they perform covers most of the topics of the Workshop. One of the principal aims of this Workshop was to provide a bridge between the electromagnetic device designers, mainly industrialists, and the electromagnetic field computation developers. Therefore, this book contains a continuous spectrum of papers from application of electromagnetic models in industrial design to presentation of new theoretical developments.

Author : M. V.K. Chari,Sheppard Salon
Publisher : Academic Press
Page : 783 pages
File Size : 50,7 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 : Pei-bai Zhou
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 42,7 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 : Kenneth John Binns,P. J. Lawrenson
Publisher : Unknown
Page : 324 pages
File Size : 42,7 Mb
Release : 1973
Category : Electric fields
ISBN : OCLC:1107213938

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Analysis and Computation of Electric and Magnetic Field Problems by Kenneth John Binns,P. J. Lawrenson Pdf

Author : P. J. Lawrenson,Kenneth Jones Binns
Publisher : Unknown
Page : 128 pages
File Size : 54,7 Mb
Release : 1963
Category : Electronic
ISBN : OCLC:460182505

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Analysis and Computation of Electric and Magnetic Field Problems by P. J. Lawrenson,Kenneth Jones Binns Pdf

Author : Stanley Humphries Jr.
Publisher : CRC Press
Page : 404 pages
File Size : 46,8 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 : M. V. K. Chari,Peter Peet Silvester
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 42,7 Mb
Release : 1980
Category : Mathematics
ISBN : UCAL:B4338287

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Finite Elements in Electrical and Magnetic Field Problems by M. V. K. Chari,Peter Peet Silvester Pdf

Finite elements - the basic concepts and an application to 3-D magnetostatic problems. The fundamental equations of eletric and magnetic fields. Shape functions. Software engineering aspects of finite elements. Finite element solution of magnetic and electric field problems in electrical machines and devices. Numerical analysis of Eddy-Current problems. The high-order polynomial finite element method in electromagnetic field computation. Transient solution of the diffusion equation by discrete Fourier transformation. Mutually constrained partial differential and integral equation field formulations. Applications of integral equation methods to the numerical solution of magnetostatic and Eddy-Current problems.

Author : Jian-Ming Jin
Publisher : John Wiley & Sons
Page : 744 pages
File Size : 41,6 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 : Zijad Haznadar,Željko Štih
Publisher : Unknown
Page : 436 pages
File Size : 42,9 Mb
Release : 2000
Category : Electromagnetic fields
ISBN : UCSD:31822031301286

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

Author : Pekka Neittaanmäki,M. Rudnicki,A. Savini
Publisher : Oxford University Press
Page : 388 pages
File Size : 44,7 Mb
Release : 1996-01-11
Category : Language Arts & Disciplines
ISBN : 019859383X

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Inverse Problems and Optimal Design in Electricity and Magnetism by Pekka Neittaanmäki,M. Rudnicki,A. Savini Pdf

The impact of optimization methods in electromagnetism has been much less than in mechanical engineering and particularly the solution of inverse problems in structural mechanics. This book addresses this omission: it will serve as a guide to the theory as well as the computer implementation of solutions. It is self-contained covering all the mathematical theory necessary.

Author : Paul W. Gross,P. Robert Kotiuga
Publisher : Cambridge University Press
Page : 296 pages
File Size : 53,5 Mb
Release : 2004-06-14
Category : Mathematics
ISBN : 0521801605

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Electromagnetic Theory and Computation by Paul W. Gross,P. Robert Kotiuga Pdf

This book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation. The connection between topology and electromagnetism has been known since the 19th century, but there has been little exposition of its relevance to computational methods in modern topological language. This book is an effort to close that gap. It will be of interest to people working in finite element methods for electromagnetic computation and those who have an interest in numerical and industrial applications of algebraic topology.

Author : K. J. Binns,P. J. Lawrenson,C. W. Trowbridge
Publisher : Wiley
Page : 486 pages
File Size : 53,9 Mb
Release : 1993-01-04
Category : Technology & Engineering
ISBN : 0471924601

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The Analytical and Numerical Solution of Electric and Magnetic Fields by K. J. Binns,P. J. Lawrenson,C. W. Trowbridge Pdf

Designed for accessibility to students, researchers and design and development workers, it discusses the full range of classical and modern methods for the solution of electric, magnetic, some thermal and other similar fields. It deals with 1, 2 and 3 space dimensions, with linear, non-linear and anisotropic media as well as static and ``low''-frequency time variation. Numerous examples, detailing the physical significance of the mathematics and the practical considerations involved in implementing the solutions, make this a very hands-on working reference.

Author : Jean Claude Sabonnadiere,Jean Louis Coulomb
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 54,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781468487398

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Finite Element Methods in CAD by Jean Claude Sabonnadiere,Jean Louis Coulomb Pdf

The finite element method (FEM) has been understood, at least in principle, for more than 50 years. The integral formulation on which it is based has been known for a longer time (thanks to the work of Galerkin, Ritz, Courant and Hilbert,1.4 to mention the most important). However, the method could not be applied in a practical way since it involved the solution of a large number of linear or non-linear algebraic equations. Today it is quite common, with the aid of computers, to solve non-linear algebraic problems of several thousand equations. The necessary numerical methods and programming techniques are now an integral part of the teaching curriculum in most engineering schools. Mechanical engineers, confronted with very complicated structural problems, were the first to take advantage of advanced computational methods and high level languages (FORTRAN) to transform the mechanical models into algebraic equations (1956). In recent times (1960), the FEM has been studied by applied mathematicians and, having received rigorous treatment, has become a part of the more general study of partial differential equations, gradually replacing the finite difference method which had been considered the universal tool to solve these types of problems.