Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications: Theory and Applications by Michal KrízekMathematical and Numerical Modelling in Electrical Engineering Theory and Applications: Theory and Applications by Michal Krízek

Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications: Theory and…

byMichal Krízek, Pekka Neittaanmäki

Paperback | December 6, 2010

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The main aim of this book is twofold. Firstly, it shows engineers why it is useful to deal with, for example, Hilbert spaces, imbedding theorems, weak convergence, monotone operators, compact sets, when solving real-life technical problems. Secondly, mathematicians will see the importance and necessity of dealing with material anisotropy, inhomogeneity, nonlinearity and complicated geometrical configurations of electrical devices, which are not encountered when solving academic examples with the Laplace operator on square or ball domains. Mathematical and numerical analysis of several important technical problems arising in electrical engineering are offered, such as computation of magnetic and electric field, nonlinear heat conduction and heat radiation, semiconductor equations, Maxwell equations and optimal shape design of electrical devices. The reader is assumed to be familiar with linear algebra, real analysis and basic numerical methods. Audience: This volume will be of interest to mathematicians and engineers whose work involves numerical analysis, partial differential equations, mathematical modelling and industrial mathematics, or functional analysis.
Title:Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications: Theory and…Format:PaperbackDimensions:313 pages, 9.25 × 6.1 × 0.68 inPublished:December 6, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048147557

ISBN - 13:9789048147557

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Table of Contents

Glossary of Symbols. Foreword. 1. Introduction. 2. Mathematical Modelling of Physical Phenomena. 3. Mathematical Background. 4. Finite Elements. 5. Conjugate Gradients. 6. Magnetic Potential of Transformer Window. 7. Calculation of Nonlinear Stationary Magnetic Fields. 8. Steady-State Radiation Heat Transfer Problem. 9. Nonlinear Anisotropic Heat Conduction in a Transformer Magnetic Core. 10. Stationary Semiconductor Equations. 11. Nonstationary Heat Conduction in a Stator. 12. The Time-Harmonic Maxwell Equations. 13. Approximation of the Maxwell Equations in Anisotropic Inhomogeneous Media. 14. Methods for Optimal Shape Design of Electrical Devices. References. Author index. Subject index.