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Published in:
2012 | OriginalPaper | Chapter
Tonti Diagrams and Algebraic Methods for the Solution of Coupled Problems
Authors : Fabio Freschi, Maurizio Repetto
Published in: Scientific Computing in Electrical Engineering SCEE 2010
Publisher: Springer Berlin Heidelberg
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Tonti diagrams highlight a common structure of several physical laws describing different phenomena. From a computational viewpoint, this underlying common structure allows to build topological operators (discrete counterpart of differential operators) only once, and they can be used to easily assemble the stiffness matrices and the coupling terms of the various problems. An application of this concept to the coupled electromagnetic-thermal problem of induction heating is presented in this work, taking into account the nonlinear effects of temperature on the magnetic characteristic beyond the Curie point.