Mathematical models for eddy currents and magnetostatics [electronic resource] : with selected applications / Rachid Touzani, Jacques Rappaz.

Mathematical models for eddy currents and magnetostatics [electronic resource] : with selected applications / Rachid Touzani, Jacques Rappaz.

9789400702028 electronic book
9400702027 electronic book
9789400702011

Dordrecht : Springer, [2013?]

©2014

English

1 online resource (xii, 305 pages) : illustrations (some color).

10.1007/978-94-007-0202-8 doi

TA357.5.T87

551.46/2015118

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.

Includes bibliographical references and index.

Access limited to authorized users.

Description based on online resource; title from PDF title page (SpringerLink, viewed October 7, 2013).

Scientific computation, 1434-8322

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