Analysis of an hp-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation

@article{BuiThanh2012AnalysisOA,
  title={Analysis of an hp-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation},
  author={Tan Bui-Thanh and Omar Ghattas},
  journal={SIAM J. Numerical Analysis},
  year={2012},
  volume={50},
  pages={1801-1826}
}
We analyze the consistency, stability, and convergence of an hp discontinuous Galerkin spectral element method of Kopriva [J. Comput. Phys., 128 (1996), pp. 475–488] and Kopriva, Woodruff, and Hussaini [Internat. J. Numer. Methods Engrg., 53 (2002), pp. 105–122]. The analysis is carried out simultaneously for acoustic, elastic, coupled elastic-acoustic, and electromagnetic wave propagation. Our analytical results are developed for both conforming and nonconforming approximations on hexahedral… CONTINUE READING

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