An h-formulation for the computation of magnetostatic fields. 
Implementation by combining a finite element method and a boundary element method

Bandelier, B.; Daveau, Christian; Rioux‐Damidau, F.

doi:10.1051/jp3:1993177

Cited by 9 publications

(4 citation statements)

References 6 publications

(14 reference statements)

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“…With the same boundary integral method, we have from equation (5) the penalty formulation [9]: For a given h s in (H 1 (R 3 )) 3 ; Find (h; ') ∈ H (curl; ) × H 1=2 ( ) such that:…”

Section: Boundary Methods and New Mixed Hybrid Formulationmentioning

confidence: 99%

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Three-dimensional magnetostatic problem

Bandelier

Daveau

Laminie

et al. 1999

Int. J. Numer. Meth. Engng.

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SUMMARYThe paper is devoted to an approximation of the solution of Maxwell's equations in three-dimensional space. We present two methods which couple a ÿnite element method inside the magnetic materials with a boundary integral method which uses PoincarÃ e-Steklov's operator to describe the exterior domain. A computer code has been implemented for each method and a number of numerical experiments have been performed to validate each proposed methodology. Namely, we present numerical results concerning a non-linear magnetostatic problem in R 3 .

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“…With the same boundary integral method, we have from equation (5) the penalty formulation [9]: For a given h s in (H 1 (R 3 )) 3 ; Find (h; ') ∈ H (curl; ) × H 1=2 ( ) such that:…”

Section: Boundary Methods and New Mixed Hybrid Formulationmentioning

confidence: 99%

“…The penalty method has already been studied in [9]. Consequently, we shall from now on only study the mixed method.…”

Section: Penalty Formulationmentioning

confidence: 99%

Three-dimensional magnetostatic problem

Bandelier

Daveau

Laminie

et al. 1999

Int. J. Numer. Meth. Engng.

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“…F ORMULATIONS based on the magnetic field intensity have been a big topic in research [1] [2], since they use the magnetic field intensity as a main unknown and therefore give direct access to the field quantities. One particular formulation of this kind is a mixed formulation [3].…”

Section: Introductionmentioning

confidence: 99%

Implementation of an Edge-Based h-Formulation in the Nonlinear Magnetostatic Case

Domenig,

Roppert,

Kaltenbacher

2024

Preprint

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This paper deals with the usage of a magnetic field oriented formulation that is derived from a mixed formulation using the penalty method, which reduces the problem to one equation. To achieve accurate results the ocurring penalty factor has to be chosen properly. For this reason, a rule to select this parameter is developed for linear and nonlinear material laws. It is shown that it yields good results when compared to measurements provided by the TEAM problem 13.

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“…The advantage of a formulation working directly with the magnetic field is to avoid the loss of precision due to differentiation. Such a formulation was proposed by F. Kikuchi the problem of the infinite exterior domain was described by an integral method, without introducing any boundary condition [5]. But this method, which uses a penalty parameter was clearly defined in the case of linear material only.…”

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confidence: 99%

A new h-formulation for nonlinear magnetostatics in R/sup 3/

1994

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Absfractw e present a penalty h-formulation of magnetostatics in R ' without any boundary conditions. It is implemented by coupling a Finite Element Method (FEM) and a Boundary Integral Method (BIM). The diecretisation for the FEM usea NBdBlec's edge elements which allows to describe the jump of the normal component of the magnetic fleld on the boundary. We describe the iterative method which takes into account the nonlinearity of the magnetic materials and we explain how the penalty parameter has to be chosen. We Anally present numerical results concerning an International Problem for which experimental measures are available.

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An h-formulation for the computation of magnetostatic fields. Implementation by combining a finite element method and a boundary element method

Cited by 9 publications

References 6 publications

Three-dimensional magnetostatic problem

Three-dimensional magnetostatic problem

Implementation of an Edge-Based h-Formulation in the Nonlinear Magnetostatic Case

A new h-formulation for nonlinear magnetostatics in R/sup 3/

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