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A QR Accelerated Volume-to-Surface Boundary Condition for the Finite-Element Solution of Eddy-Current Problems

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4 Author(s)
White, D.A. ; Defense Sci. Eng. Div., Lawrence Livermore Nat. Lab., CA ; Fasenfest, B.J. ; Rieben, R.N. ; Stowell, M.L.

We are concerned with the solution of time-dependent electromagnetic eddy-current problems using a finite-element formulation on three-dimensional unstructured meshes. We allow for multiple conducting regions, and our goal is to develop an efficient computational method that does not require a computational mesh of the air/vacuum regions. This requires a sophisticated global boundary condition specifying the total fields on the conductor boundaries. To meet this requirement, we propose a volume-to-surface boundary condition based on the Biot-Savart law. We found the Biot-Savart approach to be very accurate. In addition, this approach can be accelerated via a low-rank QR approximation of the discretized Biot-Savart law

Published in:

Magnetics, IEEE Transactions on  (Volume:43 ,  Issue: 5 )

Date of Publication:

May 2007

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