A QR accelerated volume-to-surface boundary condition for finite element solution of eddy current problems
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. We propose a Biot-Savart law based volume-to-surface boundary condition to meet this requirement. This Biot-Savart approach is demonstrated to be very accurate. In addition, this approach can be accelerated via a low-rank QR approximation of the discretized Biot-Savart law.
- Research Organization:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 940164
- Report Number(s):
- UCRL-JRNL-224344
- Journal Information:
- IEEE Transactions on Magnetics, Journal Name: IEEE Transactions on Magnetics Journal Issue: 5 Vol. 43; ISSN 0018-9464
- Country of Publication:
- United States
- Language:
- English
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