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Mathematical Models and Numerical Simulation in Electromagnetism

Alfredo Bermúdez de Castro, Dolores Gomez, Pilar Salgado (Autoren)

Buch | Softcover

XVII, 432 Seiten

2013
Springer International Publishing (Verlag)
978-3-319-02948-1 (ISBN)

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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.

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.

From the book reviews:

"The textbook is aimed as basic support for a graduate course in electromagnetism, which presents the mathematical formulation of important electromagnetic topics and integrates numerical simulation of certain phenomena for better qualitative and quantitative understanding. ... This textbook provides a useful graduate-level introduction to mathematical models in electromagnetism. It is suited for students of applied mathematics, physics, or electrical engineering." (Gunther Schmidt, zbMATH, Vol. 1304, 2015)

Erscheint lt. Verlag	11.12.2013
Reihe/Serie	La Matematica per il 3+2
Reihe/Serie	UNITEXT
Zusatzinfo	XVII, 432 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	770 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	electromagnetism • linear circuits • Maxwell's equations • nonlinear magnetic and hysteresis • numerical simulation
ISBN-10	3-319-02948-7 / 3319029487
ISBN-13	978-3-319-02948-1 / 9783319029481
Zustand	Neuware