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An Adaptive Finite Element Method for the H- ψ Formulation of Time-dependent Eddy Current Problems

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Abstract

In this paper, we develop an adaptive finite element method based on reliable and efficient a posteriori error estimates for the H − ψ formulation of eddy current problems with multiply connected conductors. Multiply connected domains are considered by making “cuts”. The competitive performance of the method is demonstrated by an engineering benchmark problem, Team Workshop Problem 7, and a singular problem with analytic solution.

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Authors and Affiliations

  1. LSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, People’s Republic of China

    Weiying Zheng, Zhiming Chen & Long Wang

Authors
  1. Weiying Zheng
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  2. Zhiming Chen
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  3. Long Wang
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Corresponding author

Correspondence to Weiying Zheng.

Additional information

W. Zheng was supported in part by China NSF under the grant 10401040.

Z. Chen was supported in part by China NSF under the grant 10025102 and 10428105, and by the National Basic Research Project under the grant 2005CB321701.

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Zheng, W., Chen, Z. & Wang, L. An Adaptive Finite Element Method for the H- ψ Formulation of Time-dependent Eddy Current Problems. Numer. Math. 103, 667–689 (2006). https://doi.org/10.1007/s00211-006-0008-3

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  • DOI: https://doi.org/10.1007/s00211-006-0008-3

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