... 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 For devices with saturated parts, nonlinear MEC simulation is required (Moallem and Dawson, 1998...

... 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...

... Filtration Magnetic activated carbons Magnetic separation Magnetostatics Water reuse Water treatment Water saving and reuse are pressing issues to have a sustainable development. Reducing wastewater pollutants flow-rates and concentrations would first of all decrease the water bodies pollution...

... 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...

..., the given measured data. Inverse problems Magnetostatics Atomic energy industry Nuclear fusion Many possible shapes and the locations for the terms included in the representation basis ℑ are possible, allowing the possibility to choose the most suitable basis depending on the representation...

.... In this paper a new method of analysis of magnetostatic field by direct boundary element method in non‐homogeneous materials was described. The difficulty that arises in such a case is due to the fact that Green’s functions for integral equation, describing a given non‐homogeneous magnetostatic problem...

... 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...

...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...

...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. © MCB UP Limited 2001 For b, we need...

...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; 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...

...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...

... 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...

...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...

...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...

...‐conjugate gradient method and the generalized minimal residual method. © MCB UP Limited 1999 Finite element method Iterative methods Magnetostatics This research is supported by the Fund for Scientific Research‐Flanders (project G.0427.98), the Research Fund of K.U. Leuven (OT /94/16...

.... Then get bⁱ = λⁱb in such a way that the bⁱs be close to λⁱμh, in energy, while making sure that their sum b is divergence‐free. © MCB UP Limited 1998 Complementarity Edge elements Magnetostatics (5) (11) Of course, neither φ nor...

...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...