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See detailError estimation and mesh optimisation using error in constitutive relation for electromagnetic field computation
Remacle, Jean-François; Dular, Patrick ULiege; Henrotte, François et al

in IEEE Transactions on Magnetics (1995), 31(6), 3587-3589

This paper presents a complete methodology to control the quality of electromagnetic field computation using the finite element method. An error estimate is built up using the error in the constitutive ... [more ▼]

This paper presents a complete methodology to control the quality of electromagnetic field computation using the finite element method. An error estimate is built up using the error in the constitutive relation. Proof is made that this estimate relates to the exact error in some cases. Both problems of control of quality and mesh optimisation are then discussed [less ▲]

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See detailA Discrete Sequence Associated with Mixed Finite Elements and its Gauge Condition for Vector Potentials
Dular, Patrick ULiege; Nicolet, André; Genon, André et al

in IEEE Transactions on Magnetics (1995), 31(3), 1356-1359

A sequence of finite element spaces built on tetrahedra, hexahedra and prisms, is presented, and a gauge condition for vector potentials is shown to be well defined in these spaces. Results are presented ... [more ▼]

A sequence of finite element spaces built on tetrahedra, hexahedra and prisms, is presented, and a gauge condition for vector potentials is shown to be well defined in these spaces. Results are presented for a modified vector potential formulation for 3D eddy current problems. [less ▲]

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See detailModélisation du champ magnétique et des courants induits dans des systèmes tridimensionnels non linéaires
Dular, Patrick ULiege

Doctoral thesis (1994)

Notre recherche consiste en l’étude et le développement de modèles mathématiques et numériques tridimensionnels destinés à l’analyse de problèmes de l’électromagnétisme, et en particulier de ... [more ▼]

Notre recherche consiste en l’étude et le développement de modèles mathématiques et numériques tridimensionnels destinés à l’analyse de problèmes de l’électromagnétisme, et en particulier de problèmes de l’électrotechnique. Ces modèles doivent permettre le calcul de la répartition tridimensionnelle des champs électromagnétiques et des effets qu’ils engendrent, tels que les courants induits, ou courants de Foucault, dans des dispositifs électrotechniques. Les applications sont nombreuses et visent toutes à faciliter les phases de conception et d’optimisation de ces dispositifs (réduction du nombre de prototypes, optimisation de géométrie, contrôles non destructifs, ...). Selon les applications, les courants induits peuvent être désirés ou non. Ils peuvent être générés intentionnellement, comme dans le chauffage par induction ou dans certains types de moteurs, ou bien être néfastes, comme dans les tôles des transformateurs et des stators d’alternateurs. Dans tous les cas, leur prédétermination par le calcul est un problème important. [less ▲]

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See detailMixed Finite Elements Associated with a Collection of Tetrahedra, Hexahedra and Prisms
Dular, Patrick ULiege; Hody, Jean-Yves; Nicolet, André et al

in IEEE Transactions on Magnetics (1994), 30(5), 2980-2983

A generalization of the Whitney complex is proposed, which is not now associated with simplices, i.e. tetrahedra in three dimensions, but with collections of three kinds of geometric elements: tetrahedra ... [more ▼]

A generalization of the Whitney complex is proposed, which is not now associated with simplices, i.e. tetrahedra in three dimensions, but with collections of three kinds of geometric elements: tetrahedra, hexahedra and prisms. Nodal, edge, facet and volume finite elements, i.e. mixed elements, associated with collections of those geometric elements, are defined. Base functions for approximation relative to these finite elements are defined and their properties are established. A geometric interpretation of these functions is given. [less ▲]

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See detailCoupling between Edge Finite Elements, Nodal Finite Elements and Boundary Elements for the Calculation of 3-D Eddy Currents
Dular, Patrick ULiege; Genon, André; Hody, Jean-Yves et al

in IEEE Transactions on Magnetics (1993), 29(2), 1470-1474

Coupling between edge finite elements, nodal finite elements and boundary elements for the calculation of 3D eddy currents is presented. Its aim is to allow an adequate treatment of different formulations ... [more ▼]

Coupling between edge finite elements, nodal finite elements and boundary elements for the calculation of 3D eddy currents is presented. Its aim is to allow an adequate treatment of different formulations using scalar and vector variables. Three kinds of edge elements - tetrahedron, hexahedron and prism - are investigated and compared. [less ▲]

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See detailModelling of Inductive Effects in Thin Wire Coils
Delincé, François; Dular, Patrick ULiege; Genon, André et al

in IEEE Transactions on Magnetics (1992), 28(2), 1190-1192

In conducting media, inductive effects give rise to eddy currents that produce skin effect and proximity effect. In thin wire coils in which the inductive effects are present the current density is forced ... [more ▼]

In conducting media, inductive effects give rise to eddy currents that produce skin effect and proximity effect. In thin wire coils in which the inductive effects are present the current density is forced to remain constant in the coil if the skin depth is larger than the characteristic size of the wire. This paper presents a homogenization technique based on the finite element method, to take into account thin wire coils in two-dimensional dynamic magnetic field computations. [less ▲]

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See detailVector Potential Boundary Element Method for Three Dimensional Magnetostatic
Adriaens, Jean-Pierre; Delincé, François; Dular, Patrick ULiege et al

in IEEE Transactions on Magnetics (1991), 27(5), 3808-3810

A three-dimensional magnetostatic field computation method is presented. It uses the vector potential formulation which is valid for any topology in opposition to the scalar formulation needing special ... [more ▼]

A three-dimensional magnetostatic field computation method is presented. It uses the vector potential formulation which is valid for any topology in opposition to the scalar formulation needing special cuts which are not always obvious. We give an attention to the calculation of strongly singular integrals using the Cauchy principal value. Finally, two examples show the good accuracy of this method. [less ▲]

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