Field Models in Electricity and Magnetism
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Beschreibung
Covering the development of field computation in the past forty years, Field Models in Electricity and Magnetism intends to be a concise, comprehensive and up-to-date introduction to field models in electricity and magnetism, ranging from basic theory to numerical applications.
The approach assumed throughout the whole book is to solve field problems directly from partial differential equations in terms of vector quantities.
Theoretical issues are illustrated by practical examples. In particular, a single example is solved by different methods so that, by comparison of results, limitations and advantages of the various methods are made clear.
The subjects of the synthesis of fields and of the optimal design of devices, which are growing in research and so far have not been adequately covered in textbooks, are developed in addition to more classical subjects of analysis.
Topics covered include:
vector fields: electrostatics, magnetostatics, steady conduction;
analytical methods for solving boundary-value problems;
numerical methods for solving boundary-value problems;
time-varying electromagnetic field;
inverse problems;
optimization.
Field Models in Electricity and Magnetism results from the cooperation of three authors in teaching electromagnetic theory at various levels and in different countries.
The subject of computation in electricity and magnetism has so advanced in the past 40 years, since the advent of digital computers and thanks to the development of numerical methods, that today it urges and deserves adequate collocation also in curricula for electrical engineering. However, the time allotted to the subject in generalisnotverylargeinundergraduatestudies,wheremoreemphasisisstillusually attributed to circuits and systems than to ?elds. Moreover, ?eld models are generally not very popular among students, who are by far more familiar with circuit models. Even if one considers the quasi-static case, however, not only is electromagnetism fundamentalforpeopledealingwithelectricandmagneticdevices,butitprovidesthe basisfor,e.g.semiconductordevicedesign,bioengineeringapplicationsandsoforth. In the authors’opinion, therefore, time has come to present ?eld models in el- tricity and magnetism, in the frame of an introductory textbook to be used by senior undergraduateorgraduatestudentsintheareaofelectricalandcomputerengineering. Elementary electromagnetism, basic vector analysis and fundamentals of numerical analysis are assumed to be known subjects. Havingthisinmind,theauthorshavecollectedtheexperiencetheyhaveaccu- lated in teaching electromagnetic theory at various levels and in different countries; theyintendtoofferabookonappliedelectricityandmagnetism,describingthepr- lemsofcalculatingelectromagnetic?eldsandtheintegralparametersconnectedwith them in suf?ciently clear and short form. The aim is that of writing a textbook containing the necessary background, i.e. laws explaining electromagnetic phenomena, mathematical operators and equations as well as methods for electromagnetic ?eld calculation. The latter include both analytical and numericalmethods applied to the analysis as well as to the synthesis of electromagnetic devices.
A self-contained and up-to-date introduction to field modelling in electricity and magnetism Directly solves field problems from field equations in terms of vector quantities Comprehensive and including synthesis, in addition to analysis, of fields Based on a problem-solving-approach which offers a practical example solved by various methods
Autor*in
Paolo Di Barba
Themen in »Field Models in Electricity and Magnetism«
ALF Computational electricity and magnetism Computer-aided design in electromagnetism Direct and inverse problems Electrostatics Finite-element modelling of electric and magnetic devices Numerical methods in electrical engineering Operator differential equation electricity finite element method finite elements numerical methods optimization partial differential equation