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Mathematical models and numerical simulation in electromagnetism / Alfredo Bermudez, Dolores Gomez and Pilar Salgado.

By: Contributor(s): Material type: TextTextSeries: Unitext - La matematica per il 3+2 ; v 74.Publication details: Switzerland : Springer, 2014.Description: xvii, 432 p. : illustrations (chiefly color) ; 24 cmISBN:
  • 9783319029481
Subject(s): DDC classification:
  • 537 23 B516
Contents:
1. The harmonic oscillator -- 2. The series RLC circuit -- 3. Linear electronic circuits -- 4. Maxwell's equation 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. Magnetostatistics -- 10. The eddy currents model -- 11. An introduction to nonlinear magnetics. Hysteresis. -- 12. Electrical circuits with MaxFEM -- 13. Electrostatistics with MaxFEM -- 14. Direct current with MaxFEM -- 15. Magnetostatistics with MaxFEM -- 16. Eddy currents with MaxFEM -- Appendices -- References -- Index.
Summary: 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.
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Includes bibliographical references and index.

1. The harmonic oscillator --
2. The series RLC circuit --
3. Linear electronic circuits --
4. Maxwell's equation 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. Magnetostatistics --
10. The eddy currents model --
11. An introduction to nonlinear magnetics. Hysteresis. --
12. Electrical circuits with MaxFEM --
13. Electrostatistics with MaxFEM --
14. Direct current with MaxFEM --
15. Magnetostatistics with MaxFEM --
16. Eddy currents with MaxFEM --
Appendices --
References --
Index.

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.

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