Iterative Solution of Eddy Current Problems on Polyhedral Meshes

作者：Bettini Paolo^*; Passarotto Mauro; Specogna Ruben

来源：IEEE Transactions on Magnetics, 2018, 54(3): 7202304.

DOI：10.1109/TMAG.2017.2765925

• Cohomology
• discrete geometric approach
• eddy currents
• finite elements
• fixed point

We present an effective technique to solve eddy current problems on the conductors of arbitrary topology by an iterative geometric formulation suitable for an arbitrary polyhedral mesh. The formulation is based on the reformulation of the volume integral formulation in a form suitable to be solved by fixed point iterations. Given that nowadays, the computation of Biot-Savart fields can be performed efficiently on graphics processing units, the right-hand side of the systems is constructed at each fixed point iteration without computing the inductance matrix, which is fully populated. The proposed technique is useful in eddy current problems at industrial frequency where meshing the complement of conductors is hard, thus representing a sound alternative to integral formulations.

• 出版日期2018-3