2018
DOI: 10.1109/tmag.2018.2828786
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Subproblems Applied to a 3-D Magnetostatic Facet FEM Formulation

Abstract: The Facet Finite Element Method (FFEM) requires a source field solution that is commonly obtained by the Biot-Savart equation that can be time-consuming. The subproblem modeling (SPM) is applied to the FFEM in order to minimize the computational effort and time necessary to obtain the solution. The volume sources, which allow solving the Biot-Savart equation only along the active regions, is presented, as well as the Biot-Savart boundary condition correction.

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Cited by 12 publications
(8 citation statements)
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“…Equations (1−4 and 12) can be solved in a coupled way. Given the geometric complexity and inhomogeneity of tissue, the solution must be local in the tissue using discretized 3D techniques as finite elements [64][65][66][67][68][69][70][71] in the appropriate element of the tissue. The discretized 3D elements are volume parts enclosed in surface elements, each encircled by edge elements, each ended by two nodes.…”
Section: Coupled Solution Of Emf and Bh Equationsmentioning
confidence: 99%
“…Equations (1−4 and 12) can be solved in a coupled way. Given the geometric complexity and inhomogeneity of tissue, the solution must be local in the tissue using discretized 3D techniques as finite elements [64][65][66][67][68][69][70][71] in the appropriate element of the tissue. The discretized 3D elements are volume parts enclosed in surface elements, each encircled by edge elements, each ended by two nodes.…”
Section: Coupled Solution Of Emf and Bh Equationsmentioning
confidence: 99%
“…More formally, the equations allowing the analysis of the static magnetic field in the absence of current are derived from Maxwell’s equations. From Gauss’s law for a magnetic field in the form ( 1 ) and Ampere’s law in the form ( 2 ) [ 25 ]. where:…”
Section: The Digital Twin Modelmentioning
confidence: 99%
“…The ruling Equations ( 1)-( 4) can be solved locally in the birdcage RF coil-antenna for reference conditions (without inserted matter) compared to situations involving the diverse controlled matters. This can be accomplished by means of numerical discretized methods [125][126][127][128][129][130][131] or other techniques allowing local computations.…”
Section: Emc Conformity Controlmentioning
confidence: 99%