Dispersive and Dissipative Behavior of the Spectral Element Method

@article{Ainsworth2009DispersiveAD,
  title={Dispersive and Dissipative Behavior of the Spectral Element Method},
  author={Mark Ainsworth and Hafiz Abdul Wajid},
  journal={SIAM J. Numerical Analysis},
  year={2009},
  volume={47},
  pages={3910-3937}
}
If the nodes for the spectral element method are chosen to be the Gauss-LegendreLobatto points, then the resulting mass matrix is diagonal and the method is sometimes then described as the Gauss-point mass lumped finite element scheme. We study the dispersive behaviour of the scheme issue in detail and provide both a qualitative description of the nature of the dispersive and dissipative behaviour of the scheme along with precise quantitative statements of the accuracy in terms of the mesh size… CONTINUE READING

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