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Finite Elements and Symmetry
This Special Issue of the journal Symmetry contains a collection of papers devoted to the use of symmetry in finite element approximation of partial differential equations. More specifically, applications ranging from mechanical engineering to electromagnetics and fluid dynamics are considered. Both theoretical and computational aspects are considered. The contributions were selected to ensure the widest variety of themes. In particular, we wanted to include both theoretical papers (well posedness, stability) and numerical computations.
Mathematical Models for Eddy Currents and Magnetostatics
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.
Finite Elements and Symmetry
This Special Issue of the journal Symmetry contains a collection of papers devoted to the use of symmetry in finite element approximation of partial differential equations. More specifically, applications ranging from mechanical engineering to electromagnetics and fluid dynamics are considered. Both theoretical and computational aspects are considered. The contributions were selected to ensure the widest variety of themes. In particular, we wanted to include both theoretical papers (well posedness, stability) and numerical computations.
Isem 03
This publication contains a selection of 124 papers among the 165 full-length contributions which were submitted on-site at ISEM 2003. The objective of the symposia series is to vigorously promote the research in the field of electro-mechanical systems. The reader will, we hope, appreciate the variety of topics that were addressed. This is what makes ISEM so stimulating for whoever is interested in the applications of electromagnetics and its opening toward many technical fields. Yet, this publication does not intend to be a mosaic of sub-disciplines, but aims at their integration and synergy. This will be demonstrated by the present selection.
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