A fast and precise determination of the static magnetic field in the presence of thin iron shells

Rioux‐Damidau, F.; Bandelier, B.; Penven, P.

doi:10.1109/20.489546

Cited by 7 publications

(9 citation statements)

References 10 publications

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“…It should be pointed out that is the field created by the magnetic material and that this field has similar mathematical properties as an electrostatic field. Thanks to (1) and (3), the equations result into: (6) This, everywhere in , and . Then, we have to solve (6) with classical continuity conditions on the two boundaries and .…”

Section: Preliminary Studymentioning

confidence: 99%

“…The matrix of is combined with (17) to obtain a system in . Once it is solved, it's easy to obtain with (28) and then the value of the potential everywhere using (24) [6].…”

Section: A Global Variational Formulationmentioning

confidence: 99%

“…Two domains and are ruled by (6) and while (15) applies to surface . A local system of equations is obtained for each region.…”

Section: Local Formulationsmentioning

confidence: 99%

See 2 more Smart Citations

Modeling of static magnetic anomaly created by iron plates

Chadebec¹,

Coulomb

Leconte

et al. 2000

IEEE Trans. Magn.

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Abstract-This paper deals with the modeling of thin steel shells placed in a static magnetic field. The variable used is the scalar reduced potential. In front of the diversity of the formulations encountered, it proposes a methodological approach of different methods and compares them, in term of speed and easiness of computation.Index Terms-Boundary integral method, finite elements method, magnetostatic, thin shell.

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Section: Preliminary Studymentioning

confidence: 99%

“…The matrix of is combined with (17) to obtain a system in . Once it is solved, it's easy to obtain with (28) and then the value of the potential everywhere using (24) [6].…”

Section: A Global Variational Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Modeling of static magnetic anomaly created by iron plates

Chadebec¹,

Coulomb

Leconte

et al. 2000

IEEE Trans. Magn.

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“…Marine and aerial magnetic surveys also suffer from induced magnetic fields as one of the main sources of interference [6,7]. Due to the complex geometric features of vehicles, numerical methods, such as the finite element method (FEM) [8], the boundary element method (BEM) [9] and the integral equation method (IEM) [10,11] have been effective tools for calculating the induced magnetism accurately. IEM may be more suitable for open-boundary magnetostatic field calculations that avoid meshing the air region (or the equivalent) [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

An Accelerated 3D-Magnetostatic Field Computation Method With Tetrahedral Surface Integrals

Zhao¹,

Wubing²,

Zhuang³

2017

Proceedings of the 2017 2nd Joint International Information Technology, Mechanical and Electronic Engineering Conference (JIMEC

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An innovative accelerated integral equation method is proposed based on a fast search algorithm for both shared and non-shared faces among mesh elements. This method successfully accelerates the computational process of solving for the tetrahedral coupling coefficients. By using the proposed accelerated integral equation method, the efficiency of constructing the coupling matrix can be improved by more than 40% without decreasing computational accuracy, as demonstrated by analytical solutions, simulations and experimental examples.

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“…The ferromagnetic signature around naval vessels mainly consists of the induced magnetic field and the remanent one. Because the induced magnetic field is very important to optimize the performance of onboard signature reduction systems during their design phase, a wide interest always arise in the modeling of the induced magnetism of ferromagnetic naval vessels [2][3][4][5][6]. Different models for predicting the induced magnetic field were developed, such as finite element method (FEM) [7], boundary element method (BEM) [8] and integral equation method (IEM).…”

Section: Introductionmentioning

confidence: 99%