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{cal H} -Matrix-Based Operator Preconditioning for Full Maxwell at Low Frequencies

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4 Author(s)
Ostrowski, J.M. ; Corp. Res., ABB Switzerland Ltd., Baden, Switzerland ; Bebendorf, M. ; Hiptmair, R. ; Krämer, F.

A robust formulation for the computation of combined resistive, capacitive and inductive effects in time-harmonic low frequency applications has been introduced in . The Galerkin discretization with conforming finite elements leads to a sparse system matrix. Large jumps in the material coefficients may cause severe ill-conditioning of the matrix. In this paper, we investigate how operator preconditioning can be used to construct an efficient real-valued symmetric positive definite preconditioner for the iterative solution. This enables the use of a large number of unknowns for the simulation of intricate industrial devices. The approach can be treated with almost linear complexity by making use of hierarchical matrices.

Published in:

Magnetics, IEEE Transactions on  (Volume:46 ,  Issue: 8 )