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Mathematical Models and Numerical Simulation in Electromagnetism

  • Textbook
  • © 2014

Overview

Authors:
  1. Alfredo Bermúdez

    1. Department of Applied Mathematics, Universidade de Santiago de Compostela, Spain

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  2. Dolores Gómez

    1. Department of Applied Mathematics, Universidade de Santiago de Compostela, Spain

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  3. Pilar Salgado

    1. Department of Applied Mathematics, Universidade de Santiago de Compostela, Spain

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  • 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. Back Matter

    Pages 347-440
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Keywords

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

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