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Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor

Van Chien Le (UGent) , Marian Slodicka (UGent) and Karel Van Bockstal (UGent)
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Abstract
In the present paper, we investigate an eddy current problem in a three-dimensional domain containing a moving non-magnetic workpiece. A time discretization scheme based on the backward Euler method is proposed to approximate the original problem. The convergence of the scheme is proved using the Reynolds transport theorem and the corresponding error estimates are derived under appropriate assumptions. Some numerical results are also presented to assess the performance of the proposed scheme as well as to confirm the obtained error estimates.
Keywords
Error estimates, Contact electromagnetism, Moving non-magnetic conductor, Reynolds transport theorem, Rothe’s method

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MLA
Le, Van Chien, et al. “Error Estimates for the Time Discretization of an Electromagnetic Contact Problem with Moving Non-Magnetic Conductor.” COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 87, 2021, pp. 27–40, doi:10.1016/j.camwa.2021.01.019.
APA
Le, V. C., Slodicka, M., & Van Bockstal, K. (2021). Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 87, 27–40. https://doi.org/10.1016/j.camwa.2021.01.019
Chicago author-date
Le, Van Chien, Marian Slodicka, and Karel Van Bockstal. 2021. “Error Estimates for the Time Discretization of an Electromagnetic Contact Problem with Moving Non-Magnetic Conductor.” COMPUTERS & MATHEMATICS WITH APPLICATIONS 87: 27–40. https://doi.org/10.1016/j.camwa.2021.01.019.
Chicago author-date (all authors)
Le, Van Chien, Marian Slodicka, and Karel Van Bockstal. 2021. “Error Estimates for the Time Discretization of an Electromagnetic Contact Problem with Moving Non-Magnetic Conductor.” COMPUTERS & MATHEMATICS WITH APPLICATIONS 87: 27–40. doi:10.1016/j.camwa.2021.01.019.
Vancouver
1.
Le VC, Slodicka M, Van Bockstal K. Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. COMPUTERS & MATHEMATICS WITH APPLICATIONS. 2021;87:27–40.
IEEE
[1]
V. C. Le, M. Slodicka, and K. Van Bockstal, “Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor,” COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol. 87, pp. 27–40, 2021.
@article{8697508,
  abstract     = {{In the present paper, we investigate an eddy current problem in a three-dimensional domain containing a moving non-magnetic workpiece. A time discretization scheme based on the backward Euler method is proposed to approximate the original problem. The convergence of the scheme is proved using the Reynolds transport theorem and the corresponding error estimates are derived under appropriate assumptions. Some numerical results are also presented to assess the performance of the proposed scheme as well as to confirm the obtained error estimates.}},
  author       = {{Le, Van Chien and Slodicka, Marian and Van Bockstal, Karel}},
  issn         = {{0898-1221}},
  journal      = {{COMPUTERS & MATHEMATICS WITH APPLICATIONS}},
  keywords     = {{Error estimates,Contact electromagnetism,Moving non-magnetic conductor,Reynolds transport theorem,Rothe’s method}},
  language     = {{eng}},
  pages        = {{27--40}},
  title        = {{Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor}},
  url          = {{http://dx.doi.org/10.1016/j.camwa.2021.01.019}},
  volume       = {{87}},
  year         = {{2021}},
}

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