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A Frequency-Robust Solver for the Time-Harmonic Eddy Current Problem

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Scientific Computing in Electrical Engineering SCEE 2010

Part of the book series: Mathematics in Industry ((TECMI,volume 16))

Abstract

This work is devoted to fast and parameter-robust iterative solvers for frequency domain finite element equations, approximating the eddy current problem with harmonic excitation. We construct a preconditioned MinRes solver for the frequency domain equations, that is robust (= parameter-independent) in both the discretization parameter h and the frequency ω.

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Acknowledgements

The authors gratefully acknowledge the financial support of the Austrian Science Fund (FWF) research project P19255 and DK W1214.

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Authors and Affiliations

  1. Institute of Computational Mathematics, Johannes Kepler University, Altenbergerstr. 69, A-4040, Linz, Austria

    Michael Kolmbauer & Ulrich Langer

  2. RICAM, Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, A-4040, Linz, Austria

    Ulrich Langer

Authors
  1. Michael Kolmbauer
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  2. Ulrich Langer
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Corresponding author

Correspondence to Michael Kolmbauer .

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Editors and Affiliations

  1. ONERA, avenue Édouard Belin 2, Toulouse, 31055, France

    Bastiaan Michielsen

  2. LAPLACE-ENSEEIHT, rue Charles Camichel 2, Toulouse, 31071, France

    Jean-René Poirier

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Kolmbauer, M., Langer, U. (2012). A Frequency-Robust Solver for the Time-Harmonic Eddy Current Problem. In: Michielsen, B., Poirier, JR. (eds) Scientific Computing in Electrical Engineering SCEE 2010. Mathematics in Industry(), vol 16. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22453-9_11

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