Mathematical Models and Numerical Simulation in Electromagnetism

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Beschreibung

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.

Combines a rigorous mathematical description of electromagnetic models with numerous examples related to real engineering applications

Includes a chapter devoted to nonlinear magnetics, paying particular attention to hysteresis and the mathematical description of the Preisach model

The weak formulations introduced for each mathematical model have been chosen among the most suitable to perform computer simulation of electromagnetic processes



Inhalt
1 The harmonic oscillator.- 2 The Series RLC Circuit.- 3 Linear electrical circuits.- 4 Maxwell's equations in free space.- 5 Some solutions of Maxwell's equations in free space.- 6 Maxwell's equations in material regions.- 7 Electrostatics.- 8 Direct current.- 9 Magnetostatics.- 10 The eddy currents model.- 11 An introduction to nonlinear magnetics. Hysteresis.- 12 Electrostatics with MaxFEM.- 13 Direct current with MaxFEM.- 14 Magnetostatics with MaxFEM.- 15 Eddy currents with MaxFEM.- 16 RLC circuits with MaxFEM.- A Elements of graph theory.- B Vector Calculus.- C Function spaces for electromagnetism.- D Harmonic regime: average values.- E Linear nodal and edge finite elements.- F Maxwell's equations in Lagrangian coordinates.

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Produktinformationen

Titel
Mathematical Models and Numerical Simulation in Electromagnetism
Autor
EAN
9783319029481
ISBN
3319029487
Format
Kartonierter Einband
Herausgeber
Springer International Publishing
Genre
Mathematik
Anzahl Seiten
460
Gewicht
692g
Größe
H235mm x B155mm x T24mm
Jahr
2013
Untertitel
Englisch
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