Journal ArticleDOI
Edge element formulations of eddy current problems
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In this paper, the vector potentials are approximated by edge finite elements and the scalar potentials by nodal ones, leading, in most cases, to singular finite element equations systems.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1999-02-12. It has received 365 citations till now. The article focuses on the topics: Finite element method & Scalar (mathematics).read more
Citations
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Development of an edge-element model for AC loss computation of high-temperature superconductors
TL;DR: In this article, a new numerical model for computing the current density, field distributions and AC losses in superconductors is presented, based on the direct magnetic field H formulation without the use of vector and scalar potentials.
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Computation of Losses in HTS Under the Action of Varying Magnetic Fields and Currents
TL;DR: This paper presents a literature review of the methods for computing ac losses in HTS tapes, wires, and devices and provides an estimation of the losses occurring in a variety of power applications.
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An efficient 3D finite element method model based on the T–A formulation for superconducting coated conductors
TL;DR: In this article, an efficient 3D finite element method numerical model for superconducting coated conductors is proposed, which is based on the T-A formulation and can be used to tackle 3D computational challenges for supercondors with high aspect ratios.
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Vector Potential Electromagnetics with Generalized Gauge for Inhomogeneous Media: Formulation (Invited Paper)
TL;DR: In this paper, a generalized gauge is proposed for solving electromagnetics problems in inhomogeneous media that can be extended to the anistropic case, and the matrix representation of the integral equation for a PEC (perfect electric conductor) scatterer is given.
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Detection of brain oedema using magnetic induction tomography: a feasibility study of the likely sensitivity and detectability.
TL;DR: The detection and continuous monitoring of brain oedema is of particular interest in clinical applications because existing methods (invasive measurement of the intracranial pressure) may cause considerable distress for the patients.
References
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Book
Advances in Electronics and Electron Physics
L. Marton,R. L. Sproull +1 more
TL;DR: In this paper, the authors describe the use of the Kerre basis algorithm in mathematical morphology, R. Jones and I.D. Svalbe mirror-bank energy analyzers, S.P. Cahay and S.A. Bandyopadhyay fuzzy relations and applications, B. de Baets and E.S.
Journal ArticleDOI
On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currents
Oszkar Biro,Kurt Preis +1 more
TL;DR: In this paper, the uniqueness of the vector potential is given special attention, and a numerically stable finite-element scheme that performs well at low and high frequencies, does not require an unduly high number of degrees of freedom, and is capable of treating multiple connected conductors is presented.
Journal ArticleDOI
Solving Maxwell equations in a closed cavity, and the question of 'spurious modes'
TL;DR: In this article, it is pointed out that for a closed cavity, the problem should not be solved by the "vectorial" analog of the classical finite-element method (that is, with node-based finite elements).
Journal ArticleDOI
Calculation of transient 3D eddy current using edge-elements
TL;DR: In this paper, a modified A-method was used to calculate 3D eddy current using edge elements in the 20-node isoparametric elements, and the test problems of a square plate and a hollow sphere were solved with linear 12-edge and quadratic 36-edge elements, respectively.
Journal ArticleDOI
On the use of the magnetic vector potential in the nodal and edge finite element analysis of 3D magnetostatic problems
TL;DR: An overview of various finite element techniques based on the magnetic vector potential for the solution of three-dimensional magnetostatic problems is presented in this paper, where the vector potential is interpolated with the aid of edge finite elements and no gauge is enforced.