... to be characterized by accuracy and low computational time if compared to more classical approaches which include regularization: in particular, the PINN that penalizes both measurement discrepancy and constitutive relation error can substantially improve source reconstruction in magnetostatics with magnetic...

... Publishing Limited 2018 Emerald Publishing Limited Licensed re-use rights only Magnetostatics Newton-Raphson method Circuit analysis Finite element modelling Ferromagnetic materials Figure 5. Magnetic flux density in the yoke of the magnet without aperture field (6...

... calculated by using the PEEC_Approximation. Research limitations/implications – As this research is for the magnetostatics, the skin- and proximity-effects have not been taken into account. Practical implications – The paper includes implication for the worst-case analysis of the coil’s...

... for the water flow is assumed to be in the y=0 plane. The external flux density field B₀ is assumed to be uniform in the cell and directed along the z-axis. Filtration Magnetic activated carbons Magnetic separation Magnetostatics Water reuse Water treatment...

... and measurements are combined for an interdisciplinary characterization of a DC magnetron sputtering device. Langmuir probes are used for the plasma characterization; the magnetic field is measured by using Hall probes and the data are used to validate a magnetostatic three‐dimensional numerical analysis...

...Augustin Moraru; Aureliu Panaitescu; Ileana Panaitescu; Antoineta Soci Two magnetostatic applications are reported, related to the magnetic field around the aluminium electrolysis cells. The first exhibits the magnetic field created by the current carrying parts in the cell neighbourhood, by taking...

... distribution. Note that there is no equivalence in terms of the equilibrium of the forces acting on the plasma because a pure magnetostatic model is adopted. Many possible shapes and the locations for the terms included in the representation basis ℑ are possible, allowing the possibility to choose the most...

...Bernhard Weiß; Oszkár Bíró A geometric multigrid (MG) method for the efficient solution of 3D non‐linear magnetostatic field problems is presented. A finite element method (FEM) with edge elements is used to describe the magnetic vector potential. A numerical example is presented to demonstrate...

... integration of the Green’s function singularity. It is the first main integral equation describing the magnetostatic problem in inhomogeneous material. Domain Ω_p consists of a linear and isotropic ferromagnetic material with a magnetic permeability μ_p( r...

... be kept to a minimum, and the number and position of probes must be optimised. A possible approach to the optimal choice of a set of magnetic probes for the reconstruction of a magnetostatic field, based on a statistical approach, is presented and discussed. To determine the most useful allocation...

...Alain Bossavit We argue that, in static situations (magnetostatics, for instance) all materials can be considered as locally isotropic, though not homogeneous. Genuine anisotropy appears only in dynamic situations, e.g., in wave propagation problems. In standard notation (and letting boundary...

...Yvonnick Le Menach; Stéphane Clénet; Francis Piriou This paper presents a method of coupling magnetostatic potential formulations with electrical circuits for the 3D FEM. Allowing for the current density distribution in stranded conductors, two vectors N and K are introduced. A systematic method...

...P. Alotto; A. Castagnini; P. Girdinio; M. Nervi An adaptive FEM for 3D magnetostatic problems involving non‐linear materials and permanent magnets is presented. The problems are formulated in terms of scalar potentials and discretized on a tetrahedral mesh using linear shape functions. Local error...

...P. Alotto; I. Perugia An enhanced version of a mixed field‐based formulation for magnetostatics previously developed by the authors is presented and its features are discussed. The formulation minimises the residual of the constitutive equation, and exactly imposes Maxwell’s equations with Lagrange...

...Z. Ren; N. Ida Several second order edge elements have been applied to solving magnetostatic problems. The performances of these elements are compared through an example of magnetic circuit. In order to ensure the compatibility of the system equations and hence the convergence, the current density...

...C. Geuzaine; P. Dular; W. Legros Two sets of dual magnetodynamic and magnetostatic finite element formulations taking thin conducting magnetic shells into account are proposed. The abstraction of the thin region from the computational domain is performed by an appropriate treatment of the surface...

... arising from time-harmonic magnetic simulations H. De Gersem, D. Lahaye, S. Vandewalle and K. Hameyer Katholieke Universiteit Leuven, Leuven, Belgium Keywords Finite element method, Iterative methods, Magnetostatics Abstract Finite element discretizations of low-frequency, time-harmonic magnetic problems...

... to a finite‐size isotropic domain surrounding the system of interest. The method is therefore equivalent to a trivial truncation from the point of view of both accuracy and computing time. © MCB UP Limited 1999 Boundary layers Electromagnetics Finite element method Magnetostatics Open...

... UP Limited 1998 Complementarity Edge elements Magnetostatics In stationary problems of electromagnetism, one often can provide bilateral bounds for some quantities of interest, like for instance, the resistance of a workpiece, or the reluctance of a circuit. This has been...

...P. Di Barba; I. Perugia; A. Savini A mixed formulation of two‐dimensional magnetostatic problems, where both B and H are unknowns, is considered. The solution is obtained by minimizing the residual of the constitutive law, imposing Maxwell’s equations as constraints by means of Lagrange multipliers...