Mathematical Models for Eddy Currents and Magnetostatics
With Selected Applications
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Beschreibung
This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications.
This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented in the applied mathematics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductors leading to different mathematical models are carefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates are discussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow of electrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications.
Thorough description of eddy current processes from an applied mathematics perspective Contains a large list of industrial applications with their mathematical formulations Addresses the mathematical analysis of coupled problems involving eddy currents Includes supplementary material: sn.pub/extras
Autor*in
Rachid Touzani
Themen in »Mathematical Models for Eddy Currents and Magnetostatics«
Maxwell equations low frequency approximation coupled problem involving eddy current eddy current industrial application eddy current model with thin inductor eddy current problem eddy current process eddy current processes electromagnetic problem low frequencies induction heating process magnetostatic problem melt flow of electrically conducting metal model incompressible magneto-hydrodynamics modeling ferromagnetic screening numerical solution Maxwell equations
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From the book reviews:
“This textbook is devoted to the mathematical modeling and the efficient numerical solution of magnetostatic and eddy current problems. … The book is directed to applied mathematicians, and to researchers and developers in electric and electrotechnical engineering as well.” (Johannes Elschner, zbMATH, Vol. 1288, 2014)
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