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Spectral Mimetic Least-Squares Method for Curl-curl Systems

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Large-Scale Scientific Computing (LSSC 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10665))

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Abstract

One of the most cited disadvantages of least-squares formulations is its lack of conservation. By a suitable choice of least-squares functional and the use of appropriate conforming finite dimensional function spaces, this drawback can be completely removed. Such a mimetic least-squares method is applied to a curl-curl system. Conservation properties will be proved and demonstrated by test results on two-dimensional curvilinear grids.

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Notes

  1. 1.

    Note that these function spaces are the two-dimensional versions of the associated three-dimensional ones. For example, in two dimensions \(H(\nabla \cdot ,(\gamma \varTheta _{1})^{-1},\varOmega )\) is solely the out-of-plane component of the associated full three-dimensional vector space.

References

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Author information

Authors and Affiliations

  1. TU Delft, Kluyverweg 1, 2629 HS, Delft, The Netherlands

    Artur Palha & Marc Gerritsma

  2. Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB, Eindhoven, The Netherlands

    Artur Palha

Authors
  1. Artur Palha
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  2. Marc Gerritsma
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Corresponding author

Correspondence to Artur Palha .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Svetozar Margenov

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Palha, A., Gerritsma, M. (2018). Spectral Mimetic Least-Squares Method for Curl-curl Systems. In: Lirkov, I., Margenov, S. (eds) Large-Scale Scientific Computing. LSSC 2017. Lecture Notes in Computer Science(), vol 10665. Springer, Cham. https://doi.org/10.1007/978-3-319-73441-5_12

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  • DOI: https://doi.org/10.1007/978-3-319-73441-5_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73440-8

  • Online ISBN: 978-3-319-73441-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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