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Spectral Mimetic Least-Squares Method for Div-curl Systems

  • Marc GerritsmaEmail author
  • Artur Palha
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10665)

Abstract

In this paper the spectral mimetic least-squares method is applied to a two-dimensional div-curl system. A test problem is solved on orthogonal and curvilinear meshes and both h- and p-convergence results are presented. The resulting solutions will be pointwise divergence-free for these test problems. For \(N>1\) optimal convergence rates on an orthogonal and a curvilinear mesh are observed. For \(N=1\) the method does not converge.

Keywords

Div-curl system Spectral element method Mimetic methods 

Notes

Acknowledgements

The authors want to thank the reviewers for the valuable feedback.

Supplementary material

References

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.TU DelftDelftThe Netherlands
  2. 2.Department of Mechanical EngineeringEindhoven University of TechnologyEindhovenThe Netherlands

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