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  • Textbook
  • © 2014

Mathematical Models and Numerical Simulation in Electromagnetism

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: UNITEXT (UNITEXT, volume 74)

Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xvii
  2. Lumped Parameter Models: Electric Circuit Theory

    1. Front Matter

      Pages 1-2
    2. The harmonic oscillator

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 3-19
    3. The series RLC circuit

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 21-32
    4. Linear electrical circuits

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 33-49
  3. Distributed Parameter Models

    1. Front Matter

      Pages 51-52
    2. Maxwell’s equations in free space

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 53-65
    3. Some solutions of Maxwell’s equations in free space

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 67-75
    4. Maxwell’s equations in material regions

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 77-113
    5. Electrostatics

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 115-137
    6. Direct current

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 139-149
    7. Magnetostatics

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 151-182
    8. The eddy currents model

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 183-216
    9. An introduction to nonlinear magnetics. Hysteresis

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 217-240
  4. Numerical Solution of Maxwell’s Equations

    1. Front Matter

      Pages 241-242
    2. Electrical circuits with MaxFEM

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 243-265
    3. Electrostatics with MaxFEM

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 267-298
    4. Direct current with MaxFEM

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 299-305
    5. Magnetostatics with MaxFEM

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 307-323
    6. Eddy currents with MaxFEM

      • Alfredo Bermúdez, Dolores Gómez, Pilar Salgado
      Pages 325-345

About this book

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.

Reviews

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)

Authors and Affiliations

  • Department of Applied Mathematics, Universidade de Santiago de Compostela, Spain

    Alfredo Bermúdez, Dolores Gómez, Pilar Salgado

Bibliographic Information

Buy it now

Buying options

eBook USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access