Reference : Finite Element Modelling with Transformation Techniques
Scientific journals : Article
Engineering, computing & technology : Electrical & electronics engineering
Finite Element Modelling with Transformation Techniques
Henrotte, François []
Meys, Benoît []
Hedia, Hakim []
Dular, Patrick mailto [Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >]
Legros, Willy []
IEEE Transactions on Magnetics
Yes (verified by ORBi)
[en] transforms ; differential geometry ; TEAM Workshop problem 11 ; object oriented programming ; software desig/developmen ; interpolation
[en] Transformation methods are a very powerful tool in finite element modelling. In many cases, an adequate mapping transforms the problem into an easier one or allows advantage to be taken of the symmetries. This paper demonstrates that any mapping can be handled automatically provided the classical vector analysis approach is given up for the benefit of a differential geometry approach. As a first example, it is shown that axisymmetrical problems need no more a particular treatment provided the mapping of the cylindrical coordinates on the cartesian ones is considered as it is. Furthermore, a novel axisymmetrical formulation is proposed which relies on one further transformation and improves considerably the quality of the interpolated field. Transformation methods are also of great help to model the infinite space by means of finite elements. Many authors have presented such transformations which are often instances of the same general shell transformation that is presented here.
Politique Scientifique Fédérale (Belgique) = Belgian Federal Science Policy ; Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS

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