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Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications

  • Book
  • © 1996

Overview

Authors:
  1. Michal Křížek

    1. Academy of Sciences, Prague, Czech Republic

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  2. Pekka Neittaanmäki

    1. University of Jyväskylä, Jyväskylä, Finland

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematical Modelling: Theory and Applications (MMTA, volume 1)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Introduction

    • Michal Křížek, Pekka Neittaanmäki
    Pages 1-3

  3. Mathematical modelling of physical phenomena

    • Michal Křížek, Pekka Neittaanmäki
    Pages 4-11

  4. Mathematical background

    • Michal Křížek, Pekka Neittaanmäki
    Pages 12-53

  5. Finite elements

    • Michal Křížek, Pekka Neittaanmäki
    Pages 54-97

  6. Conjugate gradients

    • Michal Křížek, Pekka Neittaanmäki
    Pages 98-120

  7. Magnetic potential of transformer window

    • Michal Křížek, Pekka Neittaanmäki
    Pages 121-129

  8. Calculation of nonlinear stationary magnetic field

    • Michal Křížek, Pekka Neittaanmäki
    Pages 130-147

  9. Steady-state radiation heat transfer problem

    • Michal Křížek, Pekka Neittaanmäki
    Pages 148-161

  10. Nonlinear anisotropic heat conduction in a transformer magnetic core

    • Michal Křížek, Pekka Neittaanmäki
    Pages 162-196

  11. Stationary semiconductor equations

    • Michal Křížek, Pekka Neittaanmäki
    Pages 197-208

  12. Nonstationary heat conduction in a stator

    • Michal Křížek, Pekka Neittaanmäki
    Pages 209-222

  13. The time-harmonic Maxwell equations

    • Michal Křížek, Pekka Neittaanmäki
    Pages 223-235

  14. Approximation of the Maxwell equations in anisotropic inhomogeneous media

    • Michal Křížek, Pekka Neittaanmäki
    Pages 236-250

  15. Methods for optimal shape design of electrical devices

    • Michal Křížek, Pekka Neittaanmäki
    Pages 251-276

  16. Back Matter

    Pages 277-300
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Keywords

About this book

Mathematical modeling plays an essential role in science and engineering. Costly and time consuming experiments (if they can be done at all) are replaced by computational analysis. In industry, commercial codes are widely used. They are flexible and can be adjusted for solving specific problems of interest. Solving large problems with tens or hundreds of thousands unknowns becomes routine. The aim of analysis is to predict the behavior of the engineering and physical reality usually within the constraints of cost and time. Today, human cost and time are more important than computer cost. This trend will continue in the future. Agreement between computational results and reality is related to two factors, namely mathematical formulation of the problems and the accuracy of the numerical solution. The accuracy has to be understood in the context of the aim of the analysis. A small error in an inappropriate norm does not necessarily mean that the computed results are usable for practical purposes.

Authors and Affiliations

  • Academy of Sciences, Prague, Czech Republic

    Michal Křížek

  • University of Jyväskylä, Jyväskylä, Finland

    Pekka Neittaanmäki

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