Mathematical Models And Numerical Simulation In Electromagnetism
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Mathematical Models And Numerical Simulation In Electromagnetism
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Author : Alfredo Bermúdez de Castro
language : en
Publisher: Springer
Release Date : 2014-07-22
Mathematical Models And Numerical Simulation In Electromagnetism written by Alfredo Bermúdez de Castro and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-22 with Mathematics categories.
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.
Industrial Electromagnetics Modelling
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Author : J. Caldwell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Industrial Electromagnetics Modelling written by J. Caldwell and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
During the past few years the rapid development of computer tech nology has made high power computing facilities more readily accessible to a greater proportion of our industrial and academic community. This development coupled with the recent upsurge in mathematical modelling and computer simulation has led to signif icant developments in electromagnetic field theory and its applic ations to industry. In view of such developments and the present high interest to both academics and industry the theme chosen for the Polymodel 6 Conference held at Newcastle upon Tyne in May 1983 was Industrial Electromagnetics Modelling. To date the North East Polytechnics Mathematical Modelling and Computer Simulation Group has organised five successful Polymodel. conferences each with a different theme. The objectives of the Polymodel group include the promotion of collaborative research between Newcastle, Sunderland and Teesside Polytechnics and industry in the areas of mathematical modelling and computer simulation. The aim of the Polymodel 6 Conference was to call on and use the modelling and computer.simulation expertise of eminent academics and industrialists who are deeply involved in the area of electro magnetics. These proceedings have a twofold purpose in that they contain current analytical and numerical techniques relevant to electromagnetic field problems and useful ideas on the modelling and simulation techniques which are most appropriate. It was also felt important to include implications. of. computer developments (both hardware and software) on such work.
Coupled Electromagnetic Field Circuit Simulation Modeling And Numerical Analysis
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Author : Sascha Baumanns
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2012
Coupled Electromagnetic Field Circuit Simulation Modeling And Numerical Analysis written by Sascha Baumanns and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Today's most commonly used circuit models increasingly tend to lose their validity in circuit simulation due to rapid technological developments, miniaturization and increased complexity of integrated circuits. The starting point of this thesis was to tackle these challenges by refining the critical parts of the circuit by combining circuit simulation directly with distributed device models. The approach set out in this thesis couples partial differential equations for electromagnetic devices - modeled by Maxwell's equations -, to differential-algebraic equations, which describe basic circuit elements including memristors and the circuit's topology. First, Maxwell's equations are spatially discretized and a potential formulation is derived, the coupled system is then formulated as a differential-algebraic equation with a properly stated leading term and analyzed. Topological and modeling conditions are presented to guarantee the tractability index of these differential-algebraic equations to be no greater than two. Finally, local solvability, perturbation results and an algorithm to calculate consistent initializations are derived for a general class of differential-algebraic equations with a properly stated leading term having tractability index-2.
Mathematical Models For Eddy Currents And Magnetostatics
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Author : Rachid Touzani
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-01
Mathematical Models For Eddy Currents And Magnetostatics written by Rachid Touzani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-01 with Computers categories.
This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications.
Complex Electromagnetic Problems And Numerical Simulation Approaches
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Author : Levent Sevgi
language : en
Publisher: John Wiley & Sons
Release Date : 2003-06-10
Complex Electromagnetic Problems And Numerical Simulation Approaches written by Levent Sevgi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-10 with Science categories.
Today, engineering problems are very complex, requiring powerful computer simulations to power them. For engineers, observable-based parameterization as well as numerically computable formsâ??with rapid convergent properties if in a seriesâ??are essential. Complex Electromagnetic Problems and Numerical Simulation Approaches, along with its companion FTP site, will show you how to take on complex electromagnetic problems and solve them in an accurate and efficient manner. Organized into two distinct parts, this comprehensive resource first introduces you to the concepts, approaches, and numerical simulation techniques that will be used throughout the book and then, in Part II, offers step-by-step guidance as to their practical, real-world applications. Self-contained chapters will enable you to find specific solutions to numerous problems. Filled with in-depth insight and expert advice, Complex Electromagnetic Problems and Numerical Simulation Approaches: Describes ground wave propagation Examines antenna systems Deals with radar cross section (RCS) modeling Explores microstrip network design with FDTD and TLM techniques Discusses electromagnetic compatibility (EMC) and bio-electromagnetics (BEM) modeling Presents radar simulation Whether you're a professional electromagnetic engineer requiring a consolidated overview of the subject or an academic/student who wishes to use powerful simulators as a learning tool, Complex Electromagnetic Problems and Numerical Simulation Approaches - with its focus on model development, model justification, and range of validity - is the right book for you.
Mathematical And Numerical Aspects Of Wave Propagation Waves 2003
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Author : Gary Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical And Numerical Aspects Of Wave Propagation Waves 2003 written by Gary Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This volume includes articles on the mathematical modeling and numerical simulation of various wave phenomena. For many years Waves 2003 and its five prior conferences have been an important forum for discussions on wave propagation. The topic is equally important for fundamental sciences, engineering, mathematics and, in particular, for industrial applications. Areas of specific interest are acoustics, electromagnetics, elasticity and related inverse and optimization problems. This book gives an extensive overview of recent developments in a very active field of scientific computing.
Computational Electromagnetism
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Author : Alain Bossavit
language : en
Publisher: Academic Press
Release Date : 1998-02-04
Computational Electromagnetism written by Alain Bossavit and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02-04 with Technology & Engineering categories.
Computational Electromagnetism refers to the modern concept of computer-aided analysis, and design, of virtually all electric devices such as motors, machines, transformers, etc., as well as of the equipment inthe currently booming field of telecommunications, such as antennas, radars, etc. The present book is uniquely written to enable the reader-- be it a student, a scientist, or a practitioner-- to successfully perform important simulation techniques and to design efficient computer software for electromagnetic device analysis. Numerous illustrations, solved exercises, original ideas, and an extensive and up-to-date bibliography make it a valuable reference for both experts and beginners in the field. A researcher and practitioner will find in it information rarely available in other sources, such as on symmetry, bilateral error bounds by complimentarity, edge and face elements, treatment of infinite domains, etc. At the same time, the book is a useful teaching tool for courses in computational techniques in certain fields of physics and electrical engineering. As a self-contained text, it presents an extensive coverage of the most important concepts from Maxwells equations to computer-solvable algebraic systems-- for both static, quasi-static, and harmonic high-frequency problems. Benefits To the Engineer A sound background necessary not only to understand the principles behind variational methods and finite elements, but also to design pertinent and well-structured software. To the Specialist in Numerical Modeling The book offers new perspectives of practical importance on classical issues: the underlying symmetry of Maxwell equations, their interaction with other fields of physics in real-life modeling, the benefits of edge and face elements, approaches to error analysis, and "complementarity." To the Teacher An expository strategy that will allow you to guide the student along a safe and easy route through otherwise difficult concepts: weak formulations and their relation to fundamental conservation principles of physics, functional spaces, Hilbert spaces, approximation principles, finite elements, and algorithms for solving linear systems. At a higher level, the book provides a concise and self-contained introduction to edge elements and their application to mathematical modeling of the basic electromagnetic phenomena, and static problems, such as eddy-current problems and microwaves in cavities. To the Student Solved exercises, with "hint" and "full solution" sections, will both test and enhance the understanding of the material. Numerous illustrations will help in grasping difficult mathematical concepts.
Numerical Analysis For Electromagnetic Integral Equations
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Author : Karl F. Warnick
language : en
Publisher: Artech House
Release Date : 2008
Numerical Analysis For Electromagnetic Integral Equations written by Karl F. Warnick and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
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.
Numerical Electromagnetics
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Author : Umran S. Inan
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-07
Numerical Electromagnetics written by Umran S. Inan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-07 with Science categories.
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.
Field Models In Electricity And Magnetism
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Author : Paolo Di Barba
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-20
Field Models In Electricity And Magnetism written by Paolo Di Barba and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-20 with Science categories.
Covering the development of field computation in the past forty years, this book is a concise, comprehensive and up-to-date introduction to methods for the analysis and synthesis of electric and magnetic fields. A broad view of the subject of field models in electricity and magnetism, ranging from basic theory to numerical applications, is offered. The approach throughout is to solve field problems directly from partial differential equations in terms of vector quantities.